Trigonometry Formulas Quiz Part 3

Question 1 of 25

1. Question

$\tan(A) + \tan(B) + \tan(C) = \tan(A)\tan(B)\tan(C)$ when:

$A + B + C = 45^\circ$
$A + B + C = 90^\circ$
$A + B + C = 120^\circ$
$A + B + C = 180^\circ$

Question 2 of 25

2. Question

$\cot A \cdot \cot B + \cot B \cdot \cot C + \cot C \cdot \cot A = 1$ when:

$A + B + C = 90^\circ$
$A + B + C = 135^\circ$
$A + B + C = 180^\circ$
$A + B + C = 225^\circ$

Question 3 of 25

3. Question

$\tan A + \tan B + \tan C = \tan A \tan B \tan C$ if:

$A = B = C = 60^\circ$
$A + B + C = 90^\circ$
$A + B + C = 180^\circ$
$A + B + C = 360^\circ$

Question 4 of 25

4. Question

If $A + B = 45^\circ$, then $(1 + \tan A)(1 + \tan B)$ is:

$1$
$2$
$\tan 45^\circ$
$0$

Question 5 of 25

5. Question

$(1 – \cot A)(1 – \cot B) = 2$ when:

$A + B = 90^\circ$
$A + B = 180^\circ$
$A + B = 225^\circ$
$A + B = 45^\circ$

Question 6 of 25

6. Question

$\cos^2 A + \cos^2(120^\circ – A) + \cos^2(120^\circ + A) =$:

$2$
$5$
$3$
$6$

Question 7 of 25

7. Question

$\tan A + \tan B + \tan C – \tan A \tan B \tan C = 0$ when:

$A + B + C = 60^\circ$
$A + B + C = 90^\circ$
$A + B + C = 120^\circ$
$A + B + C = 180^\circ$

Question 8 of 25

8. Question

If $A + B = 90^\circ$, then $\tan A + \tan B$ equals:

$\sec A \cdot \sec B$
$1$
$\csc A + \csc B$
$\tan A \cdot \tan B$

Question 9 of 25

9. Question

$\tan(A + B + C)$ is undefined when:

$A + B + C = 60^\circ$
$A + B + C = 90^\circ$
$A + B + C = 180^\circ$
$A + B + C = 270^\circ$

Question 10 of 25

10. Question

$\frac{4 \tan \theta}{1 – \tan^2 \theta}$ equals:

$\tan 2\theta$
$\tan 4\theta$
$\sin 2\theta$
$\cos 2\theta$

Question 11 of 25

11. Question

Which of the following is correct?

$\csc 2A = \dfrac{\sec A \cdot \csc A}{2}$
$\csc 2A = \dfrac{\sec A + \csc A}{2}$
$\csc 2A = \dfrac{\sec A \cdot \csc A}{4}$
$\csc 2A = \dfrac{\sec A + \csc A}{4}$

Question 12 of 25

12. Question

Which identity is correct?

$\cos A = \sqrt{\dfrac{1 + \cos 2A}{2}}$
$\cos A = \sqrt{\dfrac{1 - \cos 2A}{2}}$
$\cos A = \sqrt{\dfrac{1 + \sin 2A}{2}}$
$\cos A = \sqrt{\dfrac{1 - \sin 2A}{2}}$

Question 13 of 25

13. Question

What is the radian measure of $180^\circ$?

$\pi$
$\dfrac{\pi}{2}$
$2\pi$
$\dfrac{\pi}{3}$

Question 14 of 25

14. Question

$1^\circ$ is equal to how many radians?

$\dfrac{\pi}{180}$
$\dfrac{\pi}{60}$
$\dfrac{180}{\pi}$
$\pi$

Question 15 of 25

15. Question

What is the relation between degree and radian in the form of $\theta^\circ$ and $\theta$ radians?

$\theta^\circ = \theta \times \dfrac{\pi}{180}$
$\theta^\circ = \theta \times \dfrac{180}{\pi}$
$\theta = \theta^\circ \times \dfrac{180}{\pi}$
$\theta = \theta^\circ \times \pi$

Question 16 of 25

16. Question

The formula to find arc length $L$ in degrees is:

$L = r \theta$
$L = r \times \dfrac{\pi \theta^\circ}{180}$
$L = 2\pi r \dfrac{\theta^\circ}{360}$
$r = L \theta$

Question 17 of 25

17. Question

Which of the following represents the value of $1^\circ$ in degrees, minutes, and seconds?

$57^\circ16'22''$
$57^\circ60'60''$
$56^\circ17'22''$
$58^\circ16'21''$

Question 18 of 25

18. Question

If $L = r \theta$, then $\theta = ?$

$\dfrac{L}{r}$
$r \cdot L$
$\dfrac{r}{L}$
$\dfrac{L}{\pi r}$

Question 19 of 25

19. Question

What is the value of $\cos 18^\circ$ in surd form?

$\frac{\sqrt{5} - 1}{4}$
$\frac{\sqrt{10 - 2\sqrt{5}}}{4}$
$\frac{\sqrt{5} + 1}{4}$
$\frac{\sqrt{10 + 2\sqrt{5}}}{4}$

Question 20 of 25

20. Question

What is the value of $\tan(150^\circ)$ using transformation identity?

$\tan(30^\circ)$
$\cot(30^\circ)$
$-\cot(60^\circ)$
$-\tan(30^\circ)$

Question 21 of 25

21. Question

Which identity is correct for $\cos(120^\circ)$?

$\cos(180^\circ - 60^\circ) = \cos(60^\circ)$
$\cos(90^\circ + 30^\circ) = -\cos(30^\circ)$
$\cos(180^\circ - \theta) = -\cos\theta$
$\cos(90^\circ + \theta) = \cos\theta$

Question 22 of 25

22. Question

What is $\sec(150^\circ)$ equal to using transformation identity?

$\sec(30^\circ)$
$\sec(180^\circ - 30^\circ)$
$-\sec(30^\circ)$
$-\cosec(30^\circ)$

Question 23 of 25

23. Question

$\tan(135^\circ)$ is equivalent to:

$-\tan(45^\circ)$
$\tan(45^\circ)$
$\cot(45^\circ)$
$-\cot(45^\circ)$

Question 24 of 25

24. Question

Which is true for $\sin(225^\circ)$?

$\sin(180^\circ + 45^\circ) = \sin(45^\circ)$
$\sin(180^\circ + 45^\circ) = -\sin(45^\circ)$
$\cos(180^\circ + 45^\circ) = -\cos(45^\circ)$
$\cos(180^\circ - 45^\circ) = \cos(45^\circ)$

Question 25 of 25

25. Question

$\cos(240^\circ)$ equals:

$\cos(270^\circ - 30^\circ) = -\sin(30^\circ)$
$\cot(270^\circ - 30^\circ) = -\tan(30^\circ)$
$\cot(270^\circ - 30^\circ) = \tan(30^\circ)$
$\sec(270^\circ - 30^\circ) = -\sec(30^\circ)$

Quiz	Trigonometry Formulas
Subject	Mathematics
Part	3
Questions	25