Trigonometric Identities Quiz

Question 1

What is the reciprocal identity of csc(θ) ?

Accepted Answer

$\frac{1}{\sin (\theta )}$

Answer

$\cos(\theta)$

Answer

$\frac{1}{\cos (\theta )}$

Answer

$\sec(\theta)$

Question 2

What is the reciprocal identity of sec(θ) ?

Accepted Answer

$\frac{1}{\cos (\theta )}$

Answer

$\frac{1}{\sin (\theta )}$

Answer

$\sin(\theta)$

Answer

$\cot(\theta)$

Question 3

Which of these is equal to cot(θ) ?

Accepted Answer

$\frac{\cos\left(\theta\right)}{\sin\left(\theta\right)}$

Answer

$\frac{\sin (\theta )}{\cos (\theta )}$

Answer

$\frac{1}{\sin (\theta )}$

Answer

$\frac{1}{\cos (\theta )}$

Question 4

What is tan(θ) ?

Accepted Answer

$\frac{\sin(\theta)}{\cos(\theta)}$

Answer

$\frac{1}{\cos (\theta )}$

Answer

$\frac{\cos (\theta )}{\sin (\theta )}$

Answer

$\frac{1}{\sin (\theta )}$

Question 5

Which of these is a Pythagorean identity?

Accepted Answer

$\sin^2\theta + \cos^2\theta = 1$

Answer

$\sec^2\theta - \csc^2\theta = 1$

Answer

$\sin(\theta) \cdot \cos(\theta) = 1$

Answer

$\tan \theta + \cot \theta = 1$

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