Trigonometry Identities Practice

If sin(x) = 3/5 and cos(x) = 4/5, what is the value of tan(x)?

• 3/4

• 4/3

• 5/3

• 3/5

• 5/4

Which of the following are even functions?

• sin(x)

• tan(x)

• cos(x)

• cot(x)

• sec(x)

If cos(30°) = √3/2, what is the value of sin(60°)?

• 1/2

• √2/2

• √3/2

• 1/√3

• 1

Express cos(x + y) in terms of cos(x), cos(y), sin(x), and sin(y).

• cos(x)cos(y) + sin(x)sin(y)

• cos(x)cos(y) - sin(x)sin(y)

• sin(x)cos(y) + cos(x)sin(y)

• sin(x)cos(y) - cos(x)sin(y)

• cos(x)sin(y) - sin(x)cos(y)

If sin(θ) = -4/5 and θ is in the third quadrant, what is the value of cos(θ)?

• 3/5

• -3/5

• 4/5

• -4/5

• 5/3

Which of the following is true for all values of x?

• sin(-x) = -sin(x)

• cos(-x) = -cos(x)

• tan(-x) = tan(x)

• cot(-x) = cot(x)

• sec(-x) = sec(x)

If tan(x) = 3/4 and x is in the first quadrant, what is the value of sec²(x)?

(Hint: Use the pythagorean identity sec²x = tan²x + 1)

• 3/5

• 4/5

• 25/16

• 16/9

• 1

Express sin(A - B) in terms of sin(A), cos(A), sin(B), and cos(B).

• sin(A)cos(B) + cos(A)sin(B)

• sin(A)cos(B) - cos(A)sin(B)

• cos(A)sin(B) - sin(A)cos(B)

• cos(A)cos(B) - sin(A)sin(B)

• sin(A)sin(B) - cos(A)cos(B)

What is the value of cos(π/6) + sin(π/3)?

• √3/2

• √3

• 1/2

• 1

Which of the following is the reciprocal identity for sin(x)?

• cos(x)

• tan(x)

• sec(x)

• csc(x)

• cot(x)