Even Odd Identities Quizzes, Questions & Answers

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Even–Odd Trig Identities: Proof & Verification Quiz

Even–odd Trig Identities: Proof & Verification Quiz

Are you ready to discover how flipping angles affects trig functions? In this quiz, you’ll explore how sine, cosine, and tangent respond when you replace θ with −θ. You’ll test and verify that sine...

Questions: 20 | Attempts: 10 | Last updated: Dec 11, 2025

Sample Question 1
Which statement is always true?

Sin(−x) = sin(x)

Cos(−x) = −cos(x)

Tan(−x) = −tan(x)

Sec(−x) = −sec(x)

Sample Question 2
Which is an even function?

Sin x

Tan x

Cos x

Csc x

Even–Odd Trig Identities: Apply & Simplify Quiz

Even–odd Trig Identities: Apply & Simplify Quiz

Can you simplify tricky trig expressions using symmetry rules? In this quiz, you’ll apply the even–odd identities to expressions that mix positive and negative angles. You’ll combine, compare, and simplify terms...

Questions: 20 | Attempts: 10 | Last updated: Dec 11, 2025

Sample Question 1
Simplify using even/odd: sin(−x) + sin(x).

0

2 sin x

1

2 cos x

Sample Question 2
Simplify completely: cos(−θ) − sin(−θ).

−cos θ − sin θ

Cos θ + sin θ

Cos θ − (−sin θ)

Cos θ + (−sin θ)

Recent Even Odd Identities Quizzes

Evenâ€“Odd, Unit Circle & Radian Understanding Quiz

Ready to connect even–odd patterns to the unit circle? In this quiz, you’ll use radians and coordinates on the circle to explain why sine changes sign but cosine doesn’t when angles are reflected across the...

Questions: 20 | Attempts: 10 | Last updated: Dec 11, 2025

Sample Question
Convert 150 degrees to radians.

2π/5

3π/5

5π/6

π/4