Trigonometry Answers

If sec(α)<0 and the sin(α)=15/17


What is the exact value of cot(α)

If sec(α)<0 and sin(α)=15/17,


what quadrant is the terminal side of α in?

cos(15°) can be evaluated using a sum or difference trig identity. Which of the following is equivalent to cos(15°)?

csc^2(x)−cot^2(x)=

sec(x)(sec(x)−cos(x))=

Garett is attempting to verify this trig identity. He makes a mistake on one of the lines below. Which line has his first mistake?


sec(θ)−sin(θ)tan(θ)=cos(θ)


1.1cos(θ)−sin(θ)1(sin(θ)cos(θ))=cos(θ)


2. 1cos(θ)−sin(θ)cos(θ)=cos(θ)


3. 1−sin(θ)cos(θ)=cos(θ)


4. cos(θ)=cos(θ)

What determines whether cos(theta/2) is positive or negative?


A. The quadrant that theta is located in.

B. The quadrant that theta/2 is located in.

C. The quadrant that 2theta would be located in.

D. It doesn't matter

Suppose cos(theta) = -5/13 and tan<0 find sin(2theta)

Suppose tan(theta) = 4/3 and csc<0, find tan(theta/2)

Find at least one solution to the following equation: sin(x^2 −1)/ 1−sin(x^2 −1) = sin(x) + sin^2(x) + sin^3(x) + sin^4(x) +···