# Homework Help: Math: Trigonometry

## Recent Homework Questions About Trigonometry

**Math/Trig**

How would I evaluate these trig functions without using a calculator? U: sin(-13π/6) cot 11π/6 cot(-14π/4) sec 23π/6 Thanks in advance ^^; and if you'd tell me step by step on how to do problems like these I'd be grateful :D

**Calculus**

integral of cscx^(2/3)(cot^3)x i know that cot^2x is csc^2(x)-1, but i just don't understand how to solve the cscx^(2/3), any help? i also know that its trig integrals/substitution...

**trig**

A tunnel for a new highway is to be cut through a mountain that is 260 feet high. At a distance of 200 feet from the base of the mountain, the angle of elevation is 36 degrees. From a distance of 150 feet on the other side of the mountain, the angle of elevation is 47 degrees...

**trig**

A tunnel for a new highway is to be cut through a mountain that is 260 feet high. At a distance of 200 feet from the base of the mountain, the angle of elevation is 36 degrees. From a distance of 150 feet on the other side of the mountain, the angle of elevation is 47 degrees...

**trig.**

How is it that sin90 is negative?

**trig**

solve equation for the exact solutions if possible put answer in degrees. 2tanx/3-tan^2x=1

**trig**

solve equation for exact solution if possible leave answer in degree sinx/2=square root of 2- sinx/2

**Trig**

The first 40 rows of seating in a certain section of a stadium have 25 seats, 28 seats, 31 seats, and so on. The 41st through the 75th rows each contain 125 seats. Find the total number of seats in this stadium section.

**trig**

1) Use double-angle identities to write the following expression, using trigonometric functions of x instead of 4x. cos 4x 2) Use half-angle identities to write the following expression, using trigonometric functions of x instead of x/4. sin x/4

**trig**

AB = 8 cm, AC = 6 cm, AD = 7 cm, CD = 2.82 and CAB=50° (a) the length BC (b) The size of angle ABC; (c) The size of angle CAD (d) The area of triangle ACD

**trig**

An electric pole is supported to stand vertically on a level ground by a tight wire. The wire is pegged at a distance of 6 meters from the foot of the pole. The angle that the wire makes the ground is three times the angle it makes with the pole.

**trig**

plot of land ABCD such that AB = 85m, BC = 75m, CD = 60m, DA = 50m and angle ACB = . Determine the area of the plot in hectares correct to two decimal places

**algebra 2/trig**

x+5 1 ------- - 1= ------- x^2-2x x^2-2x

**Calc- Trig Substitution**

integral of dx/square root(x^2-64) My answer is: ln (x/8 + square root(x^2-64)/8) +c is this right?

**trig**

Solve cos x-1 = sin^2 x Find all solutions on the interval [0,2pi) a. x=pi, x=pi/2, x= 2pi/3 b. x=3pi/7, x=pi/2, x=2pi/3 c. x=3pi/7, x=3pi/2, x=3pi/2 d. x=pi, x=pi/2, x=3pi/2

**trig**

evaluate the expression tan (257pi/4) a.-1 b. -(sqrt2)/2 c. 1 d. (sqrt2)/2

**trig**

A tree casts a shadow of 27 meters when the angle of elevation of the sun is 26 degrees. Find the height of the tree to the nearest meter. a. 24 m b. 15 m c. 320 m d. 13 m

**trig**

a voltmeter's pointer is 3 cm in length. find the degrees through which is rotates when it moves 1.1 cm on the scale?

**trig**

6. Compute the modulus and argument of each complex number. I did a-c and f. D. -5 E. -5+5i G. -3-4i 7. Let z= -5sqrt3/2+5/2i and w= 1+sqrt3i a. convert z and w to polar form b. calculate zw using De Moivres Theorem c. calculate (z/w) using De M's theorem Please help with ...

**trig**

Find all solutions of cos 2x + √2/2 =0. a) + or - 3/8pi +Kpi b) 2/3pi + Kpi, 5/3pi + Kpi c) + or - 2/5 +Kpi d) 2/3 pi + 2Kpi, 5/3pi + 2Kpi I really need help on this question :(

**Trig**

what are the rectangular coordinates of (-2(pi/6))? please help.

**math trig**

ln(2x-5)= 4 how do i this problem? thanks!

**TRIG**

I need to state the period and 2 consecutive asymptotes on the graph for the following questions. 1: y = -3 tan pi*x period: pi (?) asymptotes: ? 2: y = 2 sec 4x period: ? asymptotes: ? 3: y = csc (x/3) period: ? asymptotes: ? 4: y = 3 cot (pi*x/2) period: ? asymptotes: ?

**graphing trig functions**

given y=(3x+2pi) how would i graph one period this without a calculator? amplitude:1 period: 2pi/b = 2pi/3 is this correct? what is the minimum and maximum points?

**trig**

how can you find points of a tri equation at orgin 1/4, 1/2, 3/4, and end of the period

**Trig**

Find two values of theta that satisfy the equation. give your answers in degrees (0degrees <theta<360degrees ) and radians (0<theta<2pi) a. sin θ= sqrrt3/2 b.sin θ= - sqrrt3/2

**Trig**

Find the radian measure of the central angle of a circle of radius r that intercepts an arc of length s.? Radius, r=16 ft Arc length, s=10 ft

**graphing trig functions**

for graphing basic trig functions such as y=2sinx or y=1/3cosx, how do you know what the points are to graph with out using a calculator?

**trig**

write sin4xcos2 as the sum or difference of two functions. answers: 1/2(cos6x+cos2x), 1/2(cos2x-cos6x), 1/2(sin6x+sin2x), sin6x-sin2x

**trig**

write sin4xcos2 as the sum or difference of two functions. answers: 1/2(cos6x+cos2x), 1/2(cos2x-cos6x), 1/2(sin6x+sin2x), sin6x-sin2x

**trig**

find the angle between vector U=<2,3> and V=<1,-5> answers: 88 degrees, 45 degrees, 135 degrees, or 92 degrees...?

**trig function**

Suppose f(x)=cos x - sin x and g(x)=cos x + sin x. Explain why the graph of (fxg)(x) is equivalent to the graph of h(x)=cos x after it has been horizontally compressed by a factor of 1/2. Please help, thank you!

**trig**

write y=sinx-cosx in the form y=ksin (x+a), where the measure of a is in radians. answers: sqrt2sin (x+3pi/4), sqrt2sin (x+5pi/4), sqrt2sin (x+pi/4), or sqrt2sin (x+7pi/4) ...?

**trig**

write sin4xcos2 as the sum or difference of two functions. answers: 1/2(cos6x+cos2x), 1/2(cos2x-cos6x), 1/2(sin6x+sin2x), sin6x-sin2x

**trig**

Write an equation for simple harmonic motion, given that the amplitude equals 4 inches and the period equals 2 seconds and the max displacement occurs when t=0. answers: y=4sin pi t, y=4cos pi t, y=4cos t, y=4sin2 pi t

**trig**

an angle with the radian measure of 9pi/5. find radian measure of its reference angle. answers: -4/5, 4pi/5, -pi/5, or pi/5

**trig**

what is the exact value of sin[tan^-1(2/3)]

**trig**

U=5i+11j and V=2i-3j, find 2U-7U

**trig**

write 2+2 squareroot of 3i in trig form.

**trig**

find the angle between vectors U= <2,3> and V= <1, -5>

**trig**

a vector has a magnitude of 16 and direction of 120 degrees. write the vector in terms of unit vecotrs i and j.

**trig**

what is the magnitude and direction of the vector U= -2i - 3j

**trig**

write y=sinx-cosx in the form y=ksin (x+a), where the measure of a is in radians.

**trig**

solve 2cos^2x-sinx=1, 0 < or equal to x < 2pie

**trig**

write sin4xcos2 as the sum or difference of two functions.

**trig**

what's the single trig. function of cos6xcosx-sin6xsinx

**trig**

Given sin a = 15/17 with a in Quadrant I and cos beta = 4/5 with beta in QuandrantIV, find the exact value of cos(a+beta)

**trig function**

Suppose f(x)=cos x - sin x and g(x)=cos x + sin x. Explain why the graph of (fxg)(x) is equivalent to the graph of h(x)=cos x after it has been horizontally compressed by a factor of 1/2. Thanks so much...

**trig function**

Suppose f(x)=cos x - sin x and g(x)=cos x + sin x. Explain why the graph of (fxg)(x) is equivalent to the graph of h(x)=cos x after it has been horizontally compressed by a factor of 1/2. Thanks so much...

**trig function**

Suppose f(x)=cos x - sin x and g(x)=cos x + sin x. Explain why the graph of (fxg)(x) is equivalent to the graph of h(x)=cos x after it has been horizontally compressed by a factor of 1/2. Thanks so much...

**trig**

what is the amplitude, phase shift, and period of -3sin(2t- pie/3)

**trig**

on a triangle, A = 50 degrees, B = 81 degrees, and c = 12. what does a, b, and C equal?

**trig**

inverse tan x = inverse cos 4/5

**trig**

A wheel rotates at 100 revolutions per second. find the angle velocity in radians per second.

**trig**

find the single term of cos^2 4theta - sin^2 4theta

**trig**

find the period of f(x)=-2cot x/5

**trig**

what is the single term of csc^2 theta-1 over csc^2 theta

**trig**

what is the angle of A? C = 125 degrees, a = 18, and c = 42

**trig**

find the supplimentary angle of pie over 8

**trig**

find the exact radian of 84 degrees

**trig**

Find the amplitude of f(t)=1/3sin8t

**Trig**

Find the eccentricity of the ellipse. x^2+7y^2=35

**trig and combine function**

Suppose f(x)=cos x - sin x and g(x)=cos x + sin x. Explain why the graph of (fxg)(x) is equivalent to the graph of h(x)=cos x after it has been horizontally compressed by a factor of 1/2. Thanks so much...

**trig**

3e^2x=18

**trig**

solve for the equation x sin x= -.35 180<x<270 sin x= .2 90<x<180 cos x = -.72 180< x<270 please explain, thanks :)

**Trig**

Ok i understand how to do these I'm just stuck on this one: secx + tanx = 1

**trig**

2sin(4x)[(cos(3/2)x)(cos(5x/2)-sin((15/4)x)]+x can someone simplify this using trig identities?

**trig! please help!**

2sin(4t)[(cos(3/2)x)(cos(5x/2)-sin((15/4)x)]+x

**trig pre calc**

cos x (sec x +cos x csc2x)=csc2x

**trig**

find the values of x between 0 and 2 pi where the tangent line to the graph of y = sinxcosx is horizontal

**trig**

cos(π-x)=

**trig**

1-2sin^2(2x)

**trig**

two dice are rolled, find p(2,then 3)

**Trig**

simplify the expression to a single term: (1-2Sin^2 X)^2 + 4sin^2 X Cos^2 X I'm not sure how to start this or which identities to use. Any suggestions?

**Trig**

If you are dealt 3 cards from a shuffled deck of 52 cards, find the probability that all 3 cards are picture cards.

**algebra-trig help asap**

Write an equation I'm not sure how to do this though. The sine of x with an amplitude of 4, period of 3(pie) and phase shift to the right of pie/4

**math algebra trig**

For the graph of each function, find an equation of the line of symmetry and the coordinates of the vertex. Tell whether the value of the function at the vertex if a maximum or a minimum: a) y = -x^2 + 4x - 7; b) y = 2x^2 + 4x; c) y = -3x^2 - 18x + 5.

**algebra-trig help asap**

An isosceles triangle has a base 36 cm long and a base of 65 degrees. Find its perimeter. I'm not sure if this is right but my answer is 1250.4 in^2

**PreCalculus (PLEASE HELP, IM BEGGING!)**

Can anyone please explain these problems to me?? I really need help!I need to simplify these trig expressions but I don't understand how my teacher is doing it at all and I have a quiz on this tomorrow! I've really been trying but I just don't get it! 1)Mulitply: [cosx/(1-cosx...

**trig**

If x and y are complementary angles and 5 tan x-12=0,calculate by using a diagram the value of 2sin(squared)x+cos y.

**trig**

What is the exact value of 11pi/8? (with steps please) :)

**trig**

Determine whether the vectors are parallel, perpendicular or neither. 1) v = (4,1), w = (1,-4) 2) v = (2,3), w = (4,6) 3) v = (2,3), w = (3,-3) Please and thanks!

**trig**

Find the component form for vector v with the given amplitude and direction angle theta. |v|=20.6, theta=102.5deg

**trig**

(-10√2, -10√2), find te magnitude and direction angle of the vector, measure the direction angle in [0, 360). Please help!

**trig**

Find the dot product of u and v u= 3i+7j v= 11i-5j

**Application prob. for Trig.**

Hi, A fountain in a shopping centre has a single jet of water. The height of the jet of water varies according to a sinusoidal function. A student notes that, in exactly one minute, the jet goes from a minimum height of 2m to a maximum height of 6m and back to 2m. At 13:00, ...

**trig**

At rest, the human heart beats once every second. At the strongest part of the beat, a person's blood pressure peaks at 120mmHg. At the most relaxed part of the beat, a person's blood pressure drops to 80mmHg. Supposing that t = 0 corresponds to the peak of the beat, write ...

**trig**

a 6 foot tall man is standing near a tree on level ground .if the man shadow 4 feet long .how many feet tall is the tree?

**Honors Trig.**

A plane is flying at a speed and direction of 550 mph, 25 degrees north of west. There is a wind of 28 mph, at an angle of 19 degrees south of the east direction. How fast is the plane actually flying? What direction is the plane traveling?

**Maths trig**

Use compound angle formulae to express Second harmonic i2= sin2t and the the third harmonic i3=sin3t in terms of the first harmonic sint

**algebra 2/trig**

Write the next term of sequence,and then write the rule for the nth term. 1)1,8,27,64,....125 the nth is 2) 3,8,15, 24,.....35 the nth is Can you help me and correct ? thank

**TRIG**

5. A wheel 5.00 ft in diameter rolls up a 15.0° incline. How far above the base of the incline is the top of the wheel after the wheel has completed one revolution? A. 4.07 ft B. 13.1 ft C. 8.13 ft D. 9.07 ft

**algebra2/trig**

Write the next term of sequence,and then write the rule for the nth term. 1)1,8,27,64,....125 the nth is n 2) 3,8,15, 24,.....35 the nth is Can you help me and correct ? thank you

**trig question**

Hi, my question is attached to the web below (picture), because I can't draw the diagram on here. Sorry for any inconvenience. Please help and thanks. imageshack . us/photo/my-images / 845 / img0043gx . jpg/

**trig-math**

4. A carpenter wants to be sure that the corner of a building is square and measures 6.0 ft and 8.0 ft along the sides. How long should the diagonal be? A. 12 ft B. 10 ft C. 11 ft D. 14 ft 5. A wheel 5.00 ft in diameter rolls up a 15.0° incline. How far above the base of the ...

**trig question**

NEW DIAGRAM: On a unit circle, sin x = square root 3 over 2, with center O. Vertical line from top to center of circle is PO. Horizontal line from middle to right of circle is OE. Another vertical line of AB is parallel to PO. And radius of circle (line from O to A) is 1 unit...

**trig question**

On a unit circle, sin x = square root 3 over 2, with center O. Vertical line from top to center of circle is PO. Horizontal line from middle to right of circle is OE. Another vertical line of AB is parallel to PO. And radius of circle (line from O to A) is 1 unit. From A to E ...

**math-TRIG**

1. Which angle measure is consistent with all of the following criteria? (i) The reference angle is 40°. (ii) The angle is more than one revolution. (iii) The angle's terminal side is in Quadrant II. (iv) The angle isn't positive. A. –580° B. –500° C. –220° D. 500° ...

**trig problem**

Hi, A fountain in a shopping centre has a single jet of water. The height of the jet of water varies according to a sinusoidal function. A student notes that, in exactly one minute, the jet goes from a minimum height of 2m to a maximum height of 6m and back to 2m. At 13:00, ...

**Trig. application**

Hello.. In your previous solution to the question: "Dave is going for a ride on his unicycle. The radius of the wheel is 25.5cm. When he gets on, the valve of the wheel is at its maximum height. He pedals along a path at a speed of 30km/h. At what height will the valve be ...