Trigonometry Advanced Trigonometric Concepts

Question 1

Which of the following is the double-angle identity for sine?

Accepted Answer

sin(2θ) = 2sin(θ) cos(θ)

Answer

sin(2θ)=sin 2 (θ−cos 2 (θ)

Answer

sin(2θ)=1−2cos 2 (θ)

Answer

sin(2θ)=1−sin 
2(θ)

Question 2

What is the exact value of cos −1(0)?

Accepted Answer

π/2

Answer

0

Answer

π

Answer

2π

Question 3

Which of the following is equivalent to 1+tan2(𝜃)?

Accepted Answer

sec⁡2(𝜃)

Answer

csc 2(θ)

Answer

cot 2(θ)

Answer

sin 2(θ)+cos 2(θ)

Question 4

Simplify cos2(𝜃)−sin⁡2(𝜃).

Accepted Answer

cos(2θ)

Answer

sin⁡(2𝜃)

Answer

1−2sin2(θ)

Answer

2cos2(θ)−1

Question 5

Solve the equation 2sin⁡(𝑥)cos(𝑥)= √3/2 for 0≤𝑥≤2𝜋.

Accepted Answer

x=π/3,4π/3

Answer

x=π/6,5π/6

Answer

x=π/3,2π/3

Answer

x=π/6,7π/6