Geometry Trigonometry & Applications 5

Question 1

Which identity is a Pythagorean identity?

Accepted Answer

sin²θ + cos²θ = 1

Answer

sin²θ + cos²θ = 1 is the fundamental Pythagorean identity.

Question 2

Simplify sin θ / cos θ.

Accepted Answer

tan θ

Answer

By definition tan θ = sin θ / cos θ.

Question 3

What is the reciprocal of sin θ?

Accepted Answer

csc θ

Answer

Cosecant is defined as 1/sin θ.

Question 4

If sin θ = 0.6, what is cos²θ?

Accepted Answer

0.64

Answer

cos²θ = 1 − sin²θ = 1 − 0.36 = 0.64.

Question 5

The identity 1 + tan²θ equals:

Accepted Answer

sec²θ

Answer

Dividing sin²θ + cos²θ = 1 by cos²θ gives 1 + tan²θ = sec²θ.

Geometry Practice Test