yessir

Prove the identity:

(cosθ - sinθ) / cosθ + sinθ) = sec 2θ - tan 2θ

please show work, thanks so much!

WILL AWARD BEST ANSWER!!!

Which expression is equivalent to (1 - 2sin^2 θ)

a)   cos^2 θ

b)   2cos^2 θ - 1

c)   1 - 2cos^2 θ 

d)   sin^2 θ

WILL AWARD BEST ANSWER!!!

Thanks so much, please show work.

Which expression is equivalent to (cosθ) / (1 + sinθ)

a)   cosθ(1 + sinθ) / (1 + sin^2 θ)

b)   (cosθ) / (1 - sinθ)   

c)   (1 - sinθ) / (cosθ)

d)   (1 + sinθ) / (cosθ)

WILL AWARD BEST ANSWER!!!

Thanks so much, please show work.

Prove the identity:

(cosθ - sinθ) / (cosθ + sinθ) = sec2(θ) - tan2(θ)

thanks so much! show work please.

prove the following: 

1.   (cosθ/ secθ -1) + (cosθ/ secθ +1) = 2cot^2*θ

2.   (sinθ + tanθ) / (cosθ +1) = tanθ

3.   (1-cos 2θ) / (sin 2θ) = tanθ

Answering even one question would be helpful, thanks so much!

what is the complimentary angle of 13pi/37? (in radians)

solve for all possible θ-values, where   0 <or = to θ <or = to 2pi, where possible

no calculator. for calculator questions round to the nearest thousandth!

a) cscθcosθ = 2cosθ

b) secθ = -3

Graph the sinusoidal  y = 2cospi/6(θ + 2) - 3

State the equation of the sinusoidal function if a maximum point is (-2,10), and the next minimum is (8,-4). Angles must be in radians.

What is the range of the function y = |2cscθ| - 1?

solve: sec^2(θ) - secθ - 2 = 0

which quadrant will position angle θ have it's terminal side if secθ < 0, and cscθ < 0

a) I

b) II

c) III

d) IV

if: pi < θ < 3pi/2 and sinθ = -2/3, find sin20

a) -4sqrt5/9

b) -4/3

c) 1/3

d) 4sqrt5/9

The value of the expression: sin(11pi/6) - cos(8pi/3) + tan(3pi/4)

a) 2

b) 0

c) 1

d)-1

evaluate each expression. (exact values only)

1. sin(18pi) = ?

2. csc(13pi/4) = ?3. sec(7pi/2) = ?4. sec(5pi/3) = ?5. cot(-11pi/2) = ?