# Trigonometry

**trig**

for what values of theta between 0 and 2 pi is the function of theta equal sine theta positive?

**trig**

I need to count this: a) 1-tg^2a/1+ctg^2a, when sina =2/3 b) 1-tg^2a/1-ctg^2a, when cosa= -1/3 c) tga * cos^2a, when sina + cosa=5/7 d) tg^2a + 1/sina * 1/cosa + ctg^2a, when tga + ctga =5

**trig**

I need to prove equality. a) (sina + cosa)^2 -1 / ctga - sinacosa = 2tg^2a b) (sin^2x/sinx-cosx) - (sinx+cosx/tg^2x+1) = sinx + cosx c) sin^4a - sin^2a - cos^4a + cos^2a = cosπ/2 How to do these?

**trig**

For the following expression, find the value of y that corresponds to each value of x, then write your results as ordered pairs (x,y). y=7cos(x-pi/6) for x=pi/6, pi/3, 2pi/3, pi, 7pi/6

**Math- Trig please help!**

A tire with a diameter of 100 cm rotates 20 times in 3 seconds. a) determine the angular velocity b) how far the tire has travelled? c) what is the speed in km/h?

**precalc/trig**

Find the trigonometric form of the number. (Round any angles to two decimal places.) −8 − i

**trig**

Solve the equation for exact solutions over the interval [0, 2pi]. 4 cotx+2=-2

**trig**

Write cot(t) in terms of sin(t) if the terminal point determined by t is in the first quadrant. Do not leave a fraction inside a radical or use absolute value.

**trig**

cos t=.7, tan t<0. find the values of the other 5 trigonometric functions.

**trig**

find sin of theta if cos is less than 0 and cot equals 3

**trig**

Use the Law of Sines to solve each triangle. P=110 degrees p=125, r=200 in triangel PQR

**math/Right triangle trig**

Your favorite team is attempting a field goal. The ball is kicked at an angle of 45 degrees with the field. The ball covers a horizontal distance of 85 inches before the kick is blocked. What is the minimum height the opposing team's player can be to block the kick?

**Trig/Math**

RST is a triangle with right angle S. If s- 21.3 Angstroms and t=8.71 Angstroms, find the measure of the larger acute angle.

**Trig**

Triangle ABC has B= 137degrees, A=31.6 in., and C=42.8 in. Find B.

**trig**

In a rignt angle base is 20 mtr,adjacent side is 6 mtr, hypotenus is 20.88 mtr, what is the degree of angle of hypotenus and base

**trig**

In a rignt angle base is 20 mtr,adjacent side is 6 mtr, hypotenus is 20.88 mtr, what is the degree of angle of hypotenus and base

**trig**

if tan theta=7/24 and sin theta is greater than 0 what is the exact value of sin theta

**trig**

A and B are acute angles such that cosA =3 over 5 and cosB =12 over 13

**trig**

Find the exact value of the trigonometric function given that sin u = − 8/17 and cos v = − 3/5. (Both u and v are in Quadrant III.) cot(v − u)

**Alg. II/Trig**

If m and n are real numbers, i^2=-1, and (m-n)-4i=7+ni, what is the value of m?

**Trigonometry**

Help trig question involving discriminant? a)Find the value of the discriminant. b)Use any method to find the real roots of the equation if they exist. 2x^2+7x=0

**trig**

5. If the angles X and Y each measure between 0° and 90°, and if sinX = cosY, what is the sum of the measures of the angles X and Y?

**algebra/trig help please**

is this graphable??? y=x^2-4x-2

**trig**

-Find sin(x+y), cos(x-y), tan(x+y) and the quadrant of x+y sinx=-3/5, cosy=-7/25, x and y in Q3

**trig**

What is the exact value of 19 pie divided by 12.

**Trig**

The path of a projectile fired at an inclination t0 to the horizontal with initial velocity v feet per second is a parabola. The horizontal distance R, in feet, that the projectile travels is given by R = v2sin(2t)/32.2. What is R if v = 152 and t = 74? Give your answer to the...

**trig**

If sin(t) = -2/48 and cos(t) < 0 what is the value of cos(t) to the nearest thousandth? If sin(t) = -14/34 and cos(t) < 0, what is the value of tan(t) to the nearest thousandth? If tan(t) = -15/19 and sin(t) < 0, what is sin(t) to the nearest thousandth? If tan(t) = ...

**Trig**

Solve the equation in the given domain cos 4x + cos 2x = 0, 0<(or equal to) x < pi

**trig**

an isosceles triangle has a perimeter of 60in. the congruent sides measure (2x+9)cm. the length of the third side is 3xcm. what is the value of X?

**trig**

cosθ =5/13 with -π/2 < θ <0 find each of the following sin( θ - 5π/4) cos( θ - 11π/6) tan( θ + 5π/4) can some1 explain to me how to do these? im completely lost and this is the only thing about my assignment that i cant do can...

**trig**

find the coordinates of the terminal point on the unit circle determined by t=9pt/7 to two decimal places

**Math/trig**

Solve the equation in the given Domain: 1-cos theta/ sin theta = sqr3, 0degrees <or equal to theta < 369 degrees cos4x + cos 2x =0, 0<or equal to x < pi

**Trig**

I have these sum and product property problems and I just want to make sure my work is right. Write equations expressing 1. cos 37degrees cos99degrees as a sum Answer: sin136+(-62) 2. sin4+sin7 as a product Answer: 2sin5.5 sin-1.5 3. cos 8x - cos 2x as a product Answer -...

**trig**

Cos(-11/12) use the sum or difference formula to find the exact number

**Trig**

cos(-11pi/12)

**Algebra/trig**

How would i use my calculator to find the approximate value of the expression, cot 0.2748 rad

**trig**

Find theta such as tan(theta) = cot(theta+45). Thanks

**trig**

How to do this one? (sina/1-cosa) + (1-cosa/sina) = Also, wanted to ask if I did another one right: 1 - sin^2a + tg^2a * cos^2a = 1 - sin^2a + (sina/cosa)^2 * cos^2a = 1 - sin^2a + sin^2a = 1 ???

**trig**

Please help me how to do this: 1) 1 + sina*cosa / (cosa + sina)^2 = 2) sina + cosa / 1- 2sin^2a =

**trig**

determine the phase shift of y = sin(3x - 2pi). indicate whether the shift is to the right or left.

**trig**

I have these sum and product property problems and I just want to make sure my work is right. Write equations expressing 1. cos 37degrees cos99degrees as a sum Answer: sin136+(-62) 2. sin4+sin7 as a product Answer: 2sin5.5 sin-1.5 3. cos 8x - cos 2x as a product Answer -2sin5x...

**trig/math**

If A is between 270degrees and 360degrees, and cos A=12/13, find the exact value of: sin2a, cos2a, sin1/2a, cos1/2a

**trig**

whatis the possibilities for the square root of 2 times tan theta = 2 sin theta

**trig**

To the nearest degree, determine the measure of <X for each value of tan X if the tan X = 0.25

**trig**

Two office towers are 43m apart. From the top of the shorter tower, the angle of elevation to the top of the taller tower is 26o while the angle of depression to the base is 51o. Determine the height of each tower and round your answers to one decimal place.

**trig**

a tree growing on a hillside casts a 102-foot shadow straight down the hill. Find the vertical height of the tree if, relative to the horizontal, the hill slopes 15.0 degrees and the angle of elevation of the sun is 62.0 degrees.

**trig**

whats 21° 44' 3" as a decimal to the nearest thousandth of a degree

**trig**

find all the values of x that satisfy the equation: 2sin^2(x) + 1 = 3sin(x).

**trig**

What is inverse cot of negative radical 3/3

**Trig**

Im having serious issues with verifying Trig. identities. Please help! Here is an example: (tanX-secX)^2= 1-sinX/1+sinX

**Trig/advance math concepts**

state the amplitude, period, and phase shift of the function -0.4 sin (10x+pie/2)

**trig**

given that sin(a+b)= 56/65, cos(a+b)-33/65, cos(b)=-12/13 and pi/2<b<pi Find: sin(a)? cos(a)? tan(a)?

**Trig**

Prove the following functions: (sinx+sin2x)/(1+cosx+cos2x)=tan x (cos3x/sinx)+(sin3x/cosx)=2cot2x tan2x=(2/cotx-tanx) theses are due in the am. Fastness would be great?

**trig**

write a product of two trig functions that equals 1.

**trig**

write an equation expressing 19cos(theta-50degrees) as a sum of sine and cosine.

**trig**

write an equation expressing: cos37cos99 as a sum Review question. I know the formula. Having trouble with working it out.

**trig**

write equations expressing: 19cos(theta-50degrees) as a sum of sine and cosine.

**Math C30 ( trig )**

A roof in the shape of an upside down cosine wave is to be buile to cover an arena. The arena is 24m wide, the height of the roof at either side wall is 5m, and the maximum height of the roof is 9m. A) write a function that gives the height of the roof in terms of your ...

**Math C30 ( trig )**

Solve : cosxtanx + root3cosx - root3/2tanx - 3/2 = 0 Give exact answers and formula for the general solution as well as the specific solutions.. Help

**trig**

Find exact value of the expression. sin( 27pi/4 + 17pi/6)

**trig**

y= -(x-5)2 -3

**Trig**

Solve 2cosxsinx + sinx = 0 using unit circle.

**Trig**

Solve 2cos sq x = 1 using the unit circle.

**Trig**

Find all real numbers that satisfy the equation. 2 cos x + 1 = 0

**trig**

Hi, I need to find the domain and rnge of the following: 1. X= 1/2 (cos theta + theta sin theta) Y=1/2 (sin theta - theta cos theta) total guess here, but here goes Domain cos theta = +/- 1 and domain sin theta = +/- 1 so domain theta sin theta = 0- +/-infinity so domain of X...

**trig**

I'm confused with this concept: Okay, so I have this problem: cos2x( 2 cos+1)= 0 I understand I have to work the problems separately and I get cos x= 2 and cos x= 1/2 Now, what I don't understand is how this connects to pi, radians or the unit circle. If someone could explain ...

**Trig**

Find the measure of the central angle, in radians, given the area of the sector as 22.6 cm2 and a radius equal to 3.7 cm

**trig**

(3 tan^2x-1)(tan^2-3)= 0 can someone please explain how to do this problem and then explain the whole pie thing at the end...like, this is suppose to equal pie/6 b/c it's tan...im soooo confused.....

**trig**

guy wire is attached to a pole for support. If the angle of elevation to the pole is 67° and the wire is attached to the ground at a point 137 feet from the base of the pole, what is the height of the pole (round to 2 decimal places)?

**trig**

given the following values, what is angle B? A= 46 degree b= 4 c= 8

**trig derivatives**

How do I find the derivative of 6 + 8cosx?

**trig**

L ii i i i i i i i i A i i i i i i i i i i 4000 miles i i i i E ii right triangle have to find side EL. The range of a lighthouse is the maximum distance at which its light is visible. In the figure, point A is the farthest point from which it is possible to see the light at ...

**trig**

Since its construction in 1821, Marblehead Lighthouse has stood at the entrance to Sandusky Bay, guiding sailors along Lake Erie’s rocky shores. The 65-foot tower is one of Ohio’s best-known landmarks and the oldest continuously operating lighthouse on the Great Lakes. 1. ...

**trig**

The Hall of Fame exhibits are displayed in an eight-story, 162-foot tower. Pei originally designed a 200-foot tower, but had to reduce its height to meet the requirements of a nearby airport. From the top of the existing tower, an observer sights the entrance to the museum’s...

**Trig/Algebra II**

(3+√2)/(3-√2) is equivalent to: a. (11+6√2)/ 7 b. (11-6√2)/ 7 c. 11/7 d. 7/ (11+6√2)

**Calc**

How do you do the derivative of an inverse trig function? arcsin (sqrt2/2)??

**trig**

Find another angle theta between 0 and 2pi that has the same cosine as 3pi/14

**Algebra**

algebra 2 trig: A food vendor at a stadium sells hot dogs for $2. At this price, she can sell about 500 hot dogs per day. For every $.25 increase in price, she will sell 25 less hot dogs. The vendor's revenue can be modeled by R=(500-25x)(2+0.25x) Use vertex form to find how ...

**trig**

let P be a point in Q1 such that the slope of the line connecting P to the origin is sq. root of 2 and the distance from P to the origin is 3 units. Find the coordinates of P, state all trig values for angle formed by the line and the positive x-axis, and the measure of said ...

**trig**

Find the values of the other five trigonometric functions for angle S. a) cos S=1/3 and the terminal side of angle S is in Q1. b) tan S=-10/7 and the terminal side of S is in Q2. c) sin S=-5/14 and the terminal side of S is in Q3. d) sec S=13/11 and the terminal side of angle ...

**trig**

Find the values of the other five trigonometric functions for angle S. a) cos S=1/3 and the terminal side of angle S is in Q1. b) tan S=-10/7 and the terminal side of S is in Q2. c) sin S=-5/14 and the terminal side of S is in Q3. d) sec S=13/11 and the terminal side of angle ...

**TRIG**

Verify the following identity. 1) sin(x+y) __________ = tanx+tany cosxcosy 2) Write cos3x in terms of cosx I cannot figure out how to solve for identities they are so hard. Any help appreciated!:)

**TRIG**

1) Find an angle that makes the statement true: costheta =sin(3theta+10degrees) 2) Verify this proof: sec(Pie -x)= -secx Can someone show me how to solve for these. Very much appreciated!

**Math trig**

a ladder 24 feet long leans against the side of a building, and the angle between the ladder and the building is 25°. a) approximate the distance from the bottom of the ladder to the building. b)if the distance from the bottom of the ladder to the buliding is increased by ...

**math c30 trig**

Determine the period length of y= 2/3 sin (3x/2 ) I had 3pi/2 but the correct answer is 4pi/3 how do you get that???

**trig**

as a hot air balloon rises vertically, its angle of elevation from point P on level ground 110 kilometers from th epoint Q directly underneath the balloon changes from 15 degree 5' to 31 degree 45'. Approximately how far does the balloon rise during this period? a. 38.4 km b. ...

**trig**

If S is an element of [ 3pi/2 , 2pi ] what quadrant does the terminating side lie in and evaluate for sine theta

**trig**

Find value of tan75/2

**trig**

Q1: In a right-angle triangle the base is 50 m long and its height is 40 m .find its area

**trig**

Solve system of inequalities by graphing Y<2-x Y>x+4

**trig**

what angle in degrees am i if the following is true: sin t > cos t if i were in quadrant three, sin t=cos t

**trig**

sinx=square root of 3 over 2, cosx=1 over 2 i want to find all six trigonometric functions

**trig**

A water-park slide covers 100 feet of horizontal space and is 36 feet high. A new replacement slide will create an angle with the water surface that measures twice that of the original slide. The new slide will use the same horizontal space as the old slide. What is the height...

**trig**

50 feet

**trig**

cos 8 degrees fo feet 25 inches??

**trig**

if x=4 tan theta, express cos(2 theta) as a function of x

**trig**

find the exact values of the six trig functions of theta equals six pi divided by 8

**trig**

the basic N of an antenna rests on horizontal ground. the angle of elevation of the top R from a pt H on the ground is 42 degrees

**trig**

A third point C lies on the ground 5.4m from N the angle of depression of C from R is X degrees. Calculate to the nearest degrees the value of X.

**trig**

as the sun rises it casts a long shadow over a boy who is leaning next to a tree. the tree is 35 feet tall and the sun's rays create an angle of depression of 70 degrees with the top of the tree. how long is the shadow