27 Answered Questions for the topic Trigonometric formulas

Solve cos x = -2/3 for 0 ≤ x < 2π (round to the nearest hundredth of a radian).

Having trouble with this problem, have tried solving but receive the wrong answer multiple times. Solve cos x = -2/3 for 0 ≤ x < 2π (round to the nearest hundredth of a radian). Thank you!

Solve sin x =√2/2 for 0 ≤ x < 2π (round to the nearest hundredth of a radian).

I received the answers π/4 (45 degrees) and 3π/4 (135 degrees). I have no idea what quadrant the two values would fall in. Solve sin x =√2/2 for 0 ≤ x < 2π (round to the nearest hundredth of a... more

how do I simplify these trig expressions?

cos-1(cos(47pi/12) arcsin(tan(-pi/6)) csc-1(cos(2017pi/2018)) cot(arcsin(1/2 csc(-11pi/4)))

Can't Solve -1-√3 * 1-√3 ------- ------ 1+√3 * 1-√3

I am doing sum and difference formulas with sin, cos, and tan. I am doing tan75 with the difference formula.   So tan 120-45   I have all the things found I just don't know how to multiply it... more

Trigonomotry

A guy wire whose grounded end is 16 ft from the pole it supports makes an angle 56 degrees with the ground.  How long is the wire.

Trig equations

A boat sails on a bearing of 75° for 128miles and then turns and sails 203miles on a bearing of 191°. Find the distance of the boat from its starting point.   I am unsure how to solve this equation

Determine A, B and C so that the formula (cosx−5sinx)^2 = A cos2x + B sin2x + C is valid for all values on x. A, B och C are integers.

This is translated from a trigonometry problem in another language, I hope you understand it.

Simple Trig, got lost and need help.

Solve the given equation over the interval [0,2): 2sinx+ (sqrt 3) sin^2x=-(sqrt 3) cos^2x A. x=0, and x=(pi/2), and x=(3 pi/2), and x=2(pi)x=(3 pi/2), and x=(7 pi/2) b. x=(4 pi/3) and x=(5... more

Trig question

My math is online and the helper says that sin∅= y/r= (5√74)/74 = 144.5° . how do u convert that fraction into degrees.  I did try the inverse of ∅=sin-1(y/r) , but for my example that only comes... more

Find tan(2 Theta +pi) using the picture:

You have a right triangle and the hypotenuse is 10 and adjacent side is 6 and the opposite side is 8, this is what the triangle looks like except NO... more

Find the angle x such that 0 is less than or equal to x which is less that 2pi. cos(2x)= =2-2sin^2x

Find the angle x such that 0 is less than or equal to x which is less that 2pi. cos(2x)= =2-2sin^2x

HELP!! given sin(x)= -3/5, pi<x<3pi/2; cos(y)= 12/13, 3pi<y<2pi find exact value of:

given sin(x)= -3/5, pi<x<3pi/2; cos(y)= 12/13, 3pi<y<2pi find exact value of:   a) sin(2x)   b) cos(y/2)

Use sum, difference, product, sum to product, product to sum or half angle formulas to find the exact value of each expression.

a) sin50cos10+sin10cos50=   b)sin75+sin15=   c) sin105=   d) sin(5pi/24)cos(pi/24)

cotx=-sqrt3, cosx<0, tan(x-pi/6)

cotx=-√3, cosx<0, tanx(x-Π/6) find the exact value

Use the sum/difference formula to find the exact answer.

(cos (11π/15) cos (π/10)) - (sin (11π/15) sin (π/10))     (p.s. π = pi)   Please don't give a decimal as the answer.  I need the exact answer.

Sonic boom trig question

The US Air Force was running maneuvers with the F22 Raptor, flying low enough so that you could see the shock cone created as the jet flies overhead at supersonic speeds. You wanted to take a video... more

verify that: cos^3(x)+sin^3(x)=1/2* (cos(x)+sin(x))*(2-sin(2x))

 verify that: cos^3(x)+sin^3(x)=1/2* (cos(x)+sin(x))*(2-sin(2x))      

Trigonometry Question

Show that if α, β and γ are the angles of a triangle, then we would have buttanα+tanβ+tanγ=tanαtanβtanγI need help with this. I've been trying but getting nowhere. Thanks.

Cos/1+sin + 1+sin/cos = 2sec

I thought it could possible be solved by a double angle formula, but I cant seem to make it work

cos 3x = -cos 3x

find all the solutions of the given equation in the interval 0≤x<2pi

Trigonometric identities

(tanv+1)^2(tanv-1)^2=2sec^2v

At the the year t=0 population of 5900 began growing at a rate of 4% per year.

I am trying to find an equation to satisfy these conditions. I have tried 5900(.96t) and that is not the correct answer. I am in a trigonometry class so I think that it might have to include sine... more

Use the half angle formulas to determine.

A. sin22.5 degrees and  B. tanpi/12 degrees

Given sintheta=4/5, theta lies in Quadrant II, find cos (theta/2)

This is for my trig class. Thanks for the help!
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