Trigonometry Formulas Quiz Part 4

Question 1 of 12

1. Question

Which of the following is the correct range of $\sin\theta$?

$[-\infty, \infty]$
$[-1, 1]$
$[0, 1]$
$[-1, 1]$

Question 2 of 12

2. Question

If $0^\circ < \theta < 45^\circ$, which is correct?

$\cos\theta < \sin\theta$
$\cos\theta = \sin\theta$
$\cos\theta > \sin\theta$
$\cos\theta > 1$

Question 3 of 12

3. Question

Which identity is used to prove $\cos^2\theta + \sin^2\theta = 1$?

Definition of tangent
Definition of secant
Pythagorean identity
Range of sine

Question 4 of 12

4. Question

If $\sin61^\circ > \cos32^\circ$, then which of the following is true?

$\cos32^\circ > \sin58^\circ$
$\cos32^\circ = \sin58^\circ$
$\cos32^\circ < \sin58^\circ$
$\cos32^\circ > \sin61^\circ$

Question 5 of 12

5. Question

Arrange in increasing order: $\sin19^\circ$, $\cos19^\circ$, $\cos71^\circ$

$\cos71^\circ < \cos19^\circ < \sin19^\circ$
$\sin19^\circ < \cos19^\circ < \cos71^\circ$
$\cos71^\circ < \sin19^\circ < \cos19^\circ$
$\cos19^\circ < \cos71^\circ < \sin19^\circ$

Question 6 of 12

6. Question

If $0 < x < 1$, then which is greater?

$x^2$
$x$
Both are equal
Can't say

Question 7 of 12

7. Question

Which of the following is equivalent to $\sec^2\theta + \csc^2\theta$?

$\tan^2\theta + \cot^2\theta$
$\sec^2\theta \csc^2\theta$
$\sec^2\theta + \csc^2\theta$
$\sec^2\theta \cdot \csc^2\theta$

Question 8 of 12

8. Question

Which identity is true?

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

Question 9 of 12

9. Question

Simplify: $\cot^2\theta – \cos^2\theta$

$\cos^2\theta - \cot^2\theta$
$\tan^2\theta - \sin^2\theta$
$\cot^2\theta \cos^2\theta$
$\sec^2\theta - \tan^2\theta$

Question 10 of 12

10. Question

Evaluate: $\tan\theta + \cot\theta = ?$

$\dfrac{1}{\sin\theta \cos\theta}$
$\dfrac{\sin\theta + \cos\theta}{\cos\theta + \sin\theta}$
$\tan^2\theta + \cot^2\theta$
$\dfrac{1}{\tan\theta \cot\theta}$

Question 11 of 12

11. Question

$\sec\theta \csc\theta$ is equal to:

$2\csc 2\theta$
$\csc^2\theta$
$2\sec 2\theta$
$1 + \tan^2\theta$

Question 12 of 12

12. Question

Which identity represents $\tan(90^\circ + \theta)$?

$-\cot\theta$
$\cot\theta$
$-\tan\theta$
$\tan\theta$

Quiz	Trigonometry Formulas
Subject	Mathematics
Part	4
Questions	25