# Homework Help: Math: Trigonometry

## Recent Homework Questions About Trigonometry

**Trig. Math**

A circle of radius 2 inscribed in a right triangle. Find the simplest expression possible for the triangle's area as a function of its hypotenuse.

**Trig functions**

The average depth of the water in a port on a tidal river is 4m. At low tide, the depth of the water is 2m. One cycle is completed approximately every 12h. a)Find an equation of the depth, d(t)metres, with respect to the average depth, as a function of the time, t hours, after...

**trig**

On a typical day at an ocean port, the water has a maximum depth of 18m at 6:00 am. The minimum depth of 9m occurs 6.8 hours later. Write an equation to describe the relationship between the depth and time.

**Trig**

What is the sum of the arithmetic series where n=50 , t1=9 and t2=331

**Trig**

What is the sum of the arithmetic series where n=100 , t1=7 and t2=205

**Trig**

Find the 20th term of an arithmetic sequence with a=1 and d=1/2

**Trig**

Find the 6th term of the arithmetic sequence with a9=120 and a14=195

**Integrated Trig**

How many years will it take for an initial investment of $5,000 to double if it is invested at a rate of 3% compunded continuously? Compounded annually?

**Trig**

Write a quadratic equation whose roots are 5 + i radical 2 and 5 – i radical 2 ____ x^2 + _____ x+ ______=0

**Trig**

If sec A =5/4 and A is an angle in Quadrant IV, find the value of cos A. A. -4/5 B.4/5 C.-5/4 Is it choice A

**trig**

16cos(x)-3sec(x)=0 Find all solutions for x in [0, 2pi)

**trig**

if the balloon is currently floating 60 feet in the air (measure from the bottom of the basket) , what is the approximate angle of depression of the person in the basket?

**TRIG**

Half angles in trig (square root(1-square root(21)/5)/2)

**Inverse Trig**

Using -pi/2 ≤ y ≤ pi/2, what are the following solutions? y=arcsin root3/2 y=arcsin 1/2

**Inverse Trig**

What is the general solution to y = arcsin 0?

**Inverse Trig**

How do I simplify arcsin (sin 6 pi) given the interval 0 ≤ theta < 2pi

**Inverse Trig**

What is the general solution to y = arcsin 1?

**Trig Maths**

solve the equation 5sin(θ -pi/6)=8cosθ for values of 0<=θ <=2pi

**Trig Maths**

solve the equation 5sin(θ -pi/6)=8cosθ for values of 0<=θ <=2pi

**trig**

a 725 pound trailer is sitting on a ramp inclined at 36 degrees. how much force is required to keep the trailer from rolling down the ramp??

**Trig**

Force 1= 65 pounds , Force 2=90 pounds find the angle between the forces? magnitude of the resultant force= 70lbs

**Trig**

how do you find the standard form of 7(cos255degrees + isin255degrees) ?

**Geometry- trig ratio**

An observer (o) spots a plane flying at a 55 degrees angle to his horizontal line of sight. if the plane is flying at an altitude of 21,000 ft, what is the distance (x) from the plane (p) to the observer (o)?

**Trig**

A vertical pole stands on a 20° slope from 50 m down the slope from the pole the angle of elevation of the top of the pole is 35 degrees. How tall is the pole

**Trig**

A vertical tower is on a 12° slope. from a 50 m down the hill, the angle of elevation of the top of the tower is 30°. find the height of the tower

**HELP!**

Next year (sophomore year) I'm taking the following courses: Honors Algebra II/Trig Spanish III Health AP Biology Honors English AP World History Is AP Bio and world history hard? or no it's not just the exam. Please tell me because this is my first year taking AP.

**trig**

A car is on a driveway that is inclined 12 degrees to the horizontal. A force of 470lb is required to keep the car from rolling down the driveway. a) Find the weight of the car b) Find the force the car exerts against the driveway

**trig/ vectors**

Points C and D are directly across from each other on opposite banks of a river. A boat travels across the river directly from point c to point d at a speed of 12 mph. If the current of the river has a speed of 4 mph, at what angle, and speed, must the captain head to travel ...

**trig**

Given angle x, where 0 <= x < 360 (degrees), cos(x) is equal to a unique value. Determine the value of to the nearest degree. Justify your answer.

**trig**

Given angle x,where 0 <= x <= 360 (degrees) solve for to the nearest degree. a)cos(2x) = 0.6420 b)sin(x + 20) = 0.2045 c)tan(90 - 2x) = 1.6443

**trig**

Given angle x, where 0 <= x < 360 (degrees), cos(x) is equal to a unique value. Determine the value of to the nearest degree. Justify your answer.

**trig**

Given angle x, where 0 <= x < 360 (degrees), cos(x) is equal to a unique value. Determine the value of to the nearest degree. Justify your answer.

**trig**

A and B are positive acute angles. if sin A=4/5 and cos B=8/17 find the value of tan (A-B) is the answer =43/100

**trig**

An airplane has air speed of 540 mph and a heading of 50*. The wind is blowing from the north at 27 mph. Find the plane's ground speed and course direction.

**trig**

Use standard identities to express sin(2θ+π/3) in terms of sinθ and cosθ

**trig**

a plane is 50000 ft in the air and 30000 ft from an airport find the angle of depression from the plane to the airport

**algebra 2/trig**

Tina can paint a room in 8 hours, but when she and her friend Emily work together, they can complete the job in 3 hours. How long would it take Emily to paint the room alone?

**trig**

cscx+1/cscx cosx = secx+tanx

**maths Pls help trig**

1 .If tanA=1/3 and tanB=1/7 (both A and B are acute),calculate 50sin(2A +B) 2.1Prove that sin2A+2cosA-2cos^3A/1+sinA =sin2A 2.2 for which values of A in the interval[-360;360] is the identity in 2.1 undefined? 3.If tanB=3/4 , 0<B<90 , prove that 4cos2B+3sin2B=4 4.Prove ...

**MathS triG**

1 .If tanA=1/3 and tanB=1/7 (both A and B are acute),calculate 50sin(2A +B) 2.1Prove that sin2A+2cosA-2cos^3A/1+sinA =sin2A 2.2 for which values of A in the interval[-360;360] is the identity in 2.1 undefined? 3.If tanB=3/4 , 0<B<90 , prove that 4cos2B+3sin2B=4 4.Prove ...

**Math - Int Trig**

Given the functions: f(x)=2x+2 g(x)=3/x^2+2 h(x)=sqrt(x-2) Find the following 1) (f∘g)(-5) 2) (h∘g)(3) 3) (g∘h)(-2) 4) (g∘g)(-2) 5) (f∘h)(12) Find the following and state the domain: 6) h∘g 7) f∘g 8) g∘f 9) g∘g 10)g∘h

**trig**

Help! Ships A and B leave port at the same time and sail on straight paths making an angle of 60 degrees with each other. HOw far apart are the ships at the end of 1 hour if the speed of ship A is 25 km/h and that of ship B is 15 km/h?

**trig**

a hot air balloon climbs continuously along a 30° angle to a height of 5,000 feet. To the nearest tenth of a foot, how far has the balloon traveled to reach 5,000 feet? Draw a sketch and then solve.

**trig**

The ferris wheel in an amusement park. It has a diameter of 24m, and it takes 40s to make one complete revolution. If Peter gets on a gondola which is vertically below the centre of the ferris wheel, find his rise in the height after 5s.

**Trig**

If 0 ≤ x ≤ 2π, which equation is a line of symmetry for the graph of y = cos x? x = 0 x = 2π x = π y = 0

**Trig**

On the same set of axes, sketch and label the graphs of the equations y = cos 2x and y = –2 sin x in the interval 0 ≤ x ≤ 2π. How many values of x in the interval 0 ≤ x ≤ 2π satisfy the equation –2 sin x – cos 2x = 3? A.1 B.2 C.3 D.4 E.0

**Trig**

In ΔABC, a = 19, c = 10, and m∠A = 111. Which statement can be used to find the value of C?

**Trig**

What is the total number of solutions for the equation 3 tan^2 A + tan A – 2 = 0 in the interval. 0 ≤ A ≤ π?

**Trig**

If the period of a cosine function is 1/3 what is the frequency of the function?

**trig**

A plane is flying due south at a speed of 192 mph. a wind is blowing in at 53 degrees at 13 mph. what is the bearing of the plane?

**Trig Identities**

Explain why Sin of theta= -The square root of 1-cos^2 theta is not an identity, using either graphical or numerical reasoning.

**trig**

tan^2(5x)cos^4(5x) = 1/8 - 1/8cos(20x)

**trig**

tan^2(5x)cos^4(tx = 1/8 - 1/8cos(20x)

**trig**

Find csc(theta), tan (theta), and cos (theta), where theta is the angle shown in the figure. Give exact values, not decimal approximations c=10 b=7 a=7.14 the right angle is locate between sides a and b and the theta angle is an acutle angle sides b and c. i have sin theta as ...

**Trig - sum and difference formulas**

Write the expression as a single trigonometric functions: cos 6x cosx - sin6x sin x if you could do it step by step? also... How do I prove that sin(90deg + theta) = cos(theta)?? also step by step so i may learn?

**Trig**

The number of values in the interval –π ≤ x ≤ π that satisfy the equation sin x = 2 cos x is 1 2 3 4 0

**trig**

Suppose that Magnus' blood pressure can be modeled by the following function {{{p(t)=83-18sin(71pi*t)}}} Magnus' blood pressure increases each time his heart beats, and it decreases as his heart rests in between beats. In this equation, p(t)is the blood pressure in mmHg (...

**trig**

cos/sin use 2npi and tan uses npi, but how do you know when to add 2npi or npi to the solution of the equation?

**math trig**

a triangle has a measured of hypoteneuos 15 and an adjacent of 10 solve for the triangle.

**math trig**

verify the identities COSX OVER 1PLUS SINX PLUS 1PLUS SINX OVER COSX IS EQUAL TO 2SEC.

**math trig**

a triangle abc has a mearsure of an adjacent 15 and 25 degree solve for the triangle

**trig**

Find all angles, 0≤A<360, that satisfy the equation below, to the nearest 10th of a degree. 2tanA+6=tanA+3

**Math ( trig )**

If a person on the Ferris wheel is 45 feet above the ground. The Gris wheel has a radius of 47.f and is 5 feet above the ground. At what degrees had the Ferris wheel rotated counted clockwise?

**trig**

a kite is flying at an angle of elevation of about 40 degrees. all 80 meters of string have been let out. ignoring the sag in the string, find the height of the kite to the nearest 10 meter

**math trig**

A TOWER AND A MONUMENT STAND ON A LEVEL PLANE.THE ANGLES OF DEPRESSION OF THE TOP AND BOTTOM OF THE MONUMENT VIEWED FROM THE TOP OF THE TOWER ARE 13DEGREE AND 31 DEGREE,RESPECTIVELY;THE HEIGHT OF THE TOWER IS 145 FT. FIND THE HEIGHT OF THE MONUMENT.

**math trig**

two points A and Bare 80 feetapart on the same side of A towerand on a horizontal line through its foot.if angle of elevation of the top of the tower at A is 21 degree and B is 46 degree find the height of the tower.

**trig**

three forces

**Trig**

A guy wire attached to the top of an electric pole makes a 70deg angle with the level ground. At a point 25 feet from the guy wire (farther away from the pole), the angel of elevation to the top of the pole is 42deg. How long is the guy wire?

**Trig**

Given ∆ABC. If side a is twice as long as side b, is <A necessarily twice as large as <B? Why?

**Trig**

A guy wire attached to the top of an electric pole makes a 700 angle with the level ground. At a point 25 feet from the guy wire (farther away from the pole), the angel of elevation to the top of the pole is 420. How long is the guy wire?

**trig**

city a is 300 miles directly north of city b assuming the earth to be a sphere of radius 4000 miles determine the difference in latitude of the two cities make answers accurate to the nearest second

**Trig**

A weather balloon is sighted between points A and B which are 5 miles apart on level ground. The angle of elevation of the balloon from A is 37 degrees and it's angle of elevation from B is 58 degrees. Find the height, in feet, of the balloon above the ground.

**Trig**

How do you solve this problem? y = 2sin 3x + 4sin 2x I haven't done these types of problems for awhile and have forgotten how to do them.

**Geometry/Trig**

A plane is flying and show an air speed of 130 mi/h. However, there is a 20 mi/hr crosswind. What is the resulting speed of the plane.

**Trig**

given that sinx=3/4 and cosy=-5/13 and both x and y are in quadrant II, find the exact value of cos(x-y)

**Trig**

Prove the following: 1/(tanØ - secØ ) + 1/(tanØ + secØ) = -2tanØ (1 - sinØ)/(1 + sinØ) = sec^2Ø - 2secØtanØ + tan^2Ø

**Trig**

Verify the given equations: ____1______ + ____1_______ = -2 tanθ tanθ – secθ tanθ + secθ 1 – sinθ = sec2θ – 2 secθ tan θ + tan2θ 1 + sinθ

**trig**

From the foot of a building i have to look upwards at an angle of 22 degrees to sight the top of a tree. From the top of a building, 150 meters above ground level, I have to look down at an angle of depression of 50 degrees to look at the top of the tree. A) How tall is the ...

**Alg/Trig**

The angle of elevation from a point on the ground to the top of a tree is 39.8 degrees. The angle of elevation from a point 51.7 ft farther back to the top of the tree is 19.7 degrees. Help find the height of the tree.

**trig**

a sailor on a boat 580 metres from the base of a vertical cliff sights the top of a lighthouse with an angel of elevation of 31 degrees

**trig**

an=(-1)n+1/2n

**trig**

Use a calculator to find: θ if θ = csc-1 1.7516. θ = _____°. Round to three decimal places.

**math12A TRIG pleas help**

a farmer wishes to fence a field in the form of a right triangle.If one angle of the right triangle is 43.2 degree and the hypotenuse is 200yard,find the amount of fencing needed.

**Trig**

A plane is 48 miles west and 49 miles north of an airport. The pilot wants to fly directly to the airport. What bearing should the pilot take? In degrees and minutes

**Trig**

A straight road slopes upward 14 degrees from the horizontal. A vertical telephone pole beside the road casts a shadow of 60 feet down the road. if the angle of elevation of the sun is 55 degrees, what is the height of the telephone pole?

**Trig**

If f(x)=cos^2x and g(x)=sin^2x, what is (f+g)(pi/15)

**trig**

If $5000 is invested at a rate of 3% interest compounded quarterly, what is the value of the investment in 5 years?

**trig**

Given csc theta= 4, cot theta < 0 Find the exact values of cos theta and tan theta

**math - trig**

Why cant we solve an oblique triangle with the Law of Sines if we are given SAS?

**trig**

City A is 300kilometer due east of city B. city C is 200kilometer on a bearing of 123degree from city B.how far is it from C to A

**trig**

a central angle intercepts an arc on a circle equal in length to the diameter of the circle. find the measure, in radians, of the central angle.

**Math - Trig**

Explain why we cannot solve an oblique triangle with the Law of Sines given SAS.

**Math - Trig**

Use the law of cosines to show that the measure of each angle of an equilateral triangle is 60deg. Explain your reasoning.

**Math - Trig**

What familiar formula can you obtain when you use the third form of the Law of Cosines c^2 = a^2 + b^2 - 2ab cos C and you let C = 90deg? What is the relationship between the Law of Cosines and this formula?

**trig**

An advertising blimps hovers over stadium at the altitude of 152 m.the pilot sites a tennis court at in 80 degree angle of depression. Find the ground distance in the straight line between the stadium and the tennis court. (note: in an exercise like this one, and answers ...

**trig**

An advertising blimps hovers over stadium at the altitude of 152 m.the pilot sites a tennis court at in 80 degree angle of depression. Find the ground distance in the straight line between the stadium and the tennis court. (note: in an exercise like this one, and answers ...

**trig**

A kite is flying at an angle of elevation of about 40 degrees. All 80 meters of string have been let out. Ignoring the sag in the string, find the height of the kite nearest ten meters.

**trig**

A kite is flying at an angle of elevation of about 40 degrees. All 80 meters of string have been let out. Ignoring the sag in the string, find the height of the kite nearest ten meters.

**trig**

Find all the solutions from [0, 2pi] cot^2x+csc=x

**Trig**

A fan makes 3 revolutions per second. The blades are 21 inches long. How do I find the angular velocity of a fan blade? in radians per second