Trigonometry Formulas Quiz Part 1

Question 1 of 25

1. Question

$\sin(A+B)$ = ?

$\sin A \sin B + \cos A \cos B$
$\sin A \cos B + \cos A \sin B$
$\sin A \cos B - \cos A \sin B$
$\cos A \cos B - \sin A \sin B$

Question 2 of 25

2. Question

$\cos(A+B)$ = ?

$\cos A \cos B + \sin A \sin B$
$\cos A \sin B + \sin A \cos B$
$\cos A \cos B - \sin A \sin B$
$\sin A \sin B - \cos A \cos B$

Question 3 of 25

3. Question

$\tan(A+B)$ = ?

$\dfrac{\tan A + \tan B}{1 - \tan A \tan B}$
$\dfrac{\tan A + \tan B}{1 + \tan A \tan B}$
$\dfrac{\tan A - \tan B}{1 + \tan A \tan B}$
$\dfrac{\tan A - \tan B}{1 - \tan A \tan B}$

Question 4 of 25

4. Question

$\sin(A-B)$ = ?

$\sin A \cos B - \cos A \sin B$
$\sin A \cos B + \cos A \sin B$
$\sin A \sin B + \cos A \cos B$
$\cos A \cos B - \sin A \sin B$

Question 5 of 25

5. Question

$\cos(A-B)$ = ?

$\cos A \cos B + \sin A \sin B$
$\cos A \cos B - \sin A \sin B$
$\cos A \sin B + \sin A \cos B$
$\sin A \sin B - \cos A \cos B$

Question 6 of 25

6. Question

$\tan(A-B)$ = ?

$\dfrac{\tan A - \tan B}{1 + \tan A \tan B}$
$\dfrac{\tan A - \tan B}{1 - \tan A \tan B}$
$\dfrac{\tan A + \tan B}{1 + \tan A \tan B}$
$\dfrac{\tan A + \tan B}{1 - \tan A \tan B}$

Question 7 of 25

7. Question

$\sin 2A$ = ?

$2 \sin A \sin A$
$2 \sin A \cos A$
$2 \cos A \cos A$
$\cos^2 A - \sin^2 A$

Question 8 of 25

8. Question

$\cos 2A$ = ?

$\cos^2 A + \sin^2 A$
$\cos^2 A - \sin^2 A$
$2 \cos A \cos A$
$2 \sin A \cos A$

Question 9 of 25

9. Question

$\tan 2A$ = ?

$\dfrac{2\tan A}{1 - \tan^2 A}$
$\dfrac{2\tan A}{1 + \tan^2 A}$
$\dfrac{\tan^2 A - 1}{2\tan A}$
$\dfrac{1 - \tan^2 A}{2\tan A}$

Question 10 of 25

10. Question

$\sin^2 A$ = ? (in terms of $\cos 2A$)

$\dfrac{1 - \cos 2A}{2}$
$\dfrac{1 + \cos 2A}{2}$
$\dfrac{1}{1 + \cos 2A}$
$\dfrac{1}{1 - \cos 2A}$

Question 11 of 25

11. Question

$\cos^2 A$ = ? (in terms of $\cos 2A$)

$\dfrac{1 - \cos 2A}{2}$
$\dfrac{1 + \cos 2A}{2}$
$\dfrac{2}{1 + \cos 2A}$
$\dfrac{2}{1 - \cos 2A}$

Question 12 of 25

12. Question

$\sin 3A$ = ?

$3\sin A - 4\sin^3 A$
$4\sin^3 A - 3\sin A$
$3\cos A - 4\cos^3 A$
$4\cos^3 A - 3\cos A$

Question 13 of 25

13. Question

$\cos 3A$ = ?

$3\cos A - 4\cos^3 A$
$4\cos^3 A - 3\cos A$
$3\sin A - 4\sin^3 A$
$4\sin^3 A - 3\sin A$

Question 14 of 25

14. Question

$\sin A \sin B$ = ?

$\dfrac{1}{2}[\cos(A-B) - \cos(A+B)]$
$\dfrac{1}{2}[\cos(A+B) - \cos(A-B)]$
$\dfrac{1}{2}[\sin(A+B) + \sin(A-B)]$
$\dfrac{1}{2}[\sin(A+B) - \sin(A-B)]$

Question 15 of 25

15. Question

$\cos A \cos B$ = ? (Product-to-Sum formula)

$\dfrac{1}{2}[\cos(A+B) + \cos(A-B)]$
$\dfrac{1}{2}[\cos(A-B) - \cos(A+B)]$
$\dfrac{1}{2}[\sin(A+B) + \sin(A-B)]$
$\dfrac{1}{2}[\sin(A+B) - \sin(A-B)]$

Question 16 of 25

16. Question

$\sin A \cos B$ = ?

$\dfrac{1}{2}[\sin(A+B) + \sin(A-B)]$
$\dfrac{1}{2}[\sin(A+B) - \sin(A-B)]$
$\dfrac{1}{2}[\cos(A+B) + \cos(A-B)]$
$\dfrac{1}{2}[\cos(A+B) - \cos(A-B)]$

Question 17 of 25

17. Question

What is the expression for $\tan(3A)$?

$\dfrac{3\tan A + \tan^3 A}{1 - 3\tan^2 A}$
$\dfrac{3\tan A - \tan^3 A}{1 - 3\tan^2 A}$
$\dfrac{3\tan A - \tan^3 A}{1 + 3\tan^2 A}$
$\dfrac{3\tan A + \tan^3 A}{1 + 3\tan^2 A}$

Question 18 of 25

18. Question

Which formula represents $\sin(A+B)\sin(A-B)$?

$\sin^2 A + \cos^2 B$
$\sin^2 A - \sin^2 B$
$\cos^2 B - \cos^2 A$
$\sin^2 A \cos^2 B - \cos^2 A \sin^2 B$

Question 19 of 25

19. Question

What is the value of $\cos(A+B)\cos(A-B)$?

$\cos^2 A + \cos^2 B$
$\cos^2 A - \sin^2 B$
$\cos^2 B - \cos^2 A$
$\cos^2 A \sin^2 B + \sin^2 A \cos^2 B$

Question 20 of 25

20. Question

Choose the correct product-to-sum identity for $\sin C + \sin D$.

$2\cos\dfrac{C+D}{2}\sin\dfrac{C-D}{2}$
$2\sin\dfrac{C+D}{2}\cos\dfrac{C-D}{2}$
$2\cos\dfrac{C-D}{2}\sin\dfrac{C+D}{2}$
$2\sin\dfrac{C-D}{2}\cos\dfrac{C+D}{2}$

Question 21 of 25

21. Question

Which is the correct formula for $\sin C – \sin D$?

$2\cos\dfrac{C+D}{2}\sin\dfrac{C-D}{2}$
$2\sin\dfrac{C+D}{2}\cos\dfrac{C-D}{2}$
$2\cos\dfrac{C-D}{2}\sin\dfrac{C+D}{2}$
$2\cos\dfrac{C+D}{2}\sin\dfrac{D-C}{2}$

Question 22 of 25

22. Question

What is the correct form for $\cos C + \cos D$?

$2\sin\dfrac{C+D}{2}\sin\dfrac{C-D}{2}$
$2\cos\dfrac{C+D}{2}\cos\dfrac{C-D}{2}$
$2\sin\dfrac{C-D}{2}\sin\dfrac{C+D}{2}$
$2\cos\dfrac{C-D}{2}\cos\dfrac{C+D}{2}$

Question 23 of 25

23. Question

Which formula is for $\cos D – \cos C$?

$2\sin\dfrac{C+D}{2}\sin\dfrac{D-C}{2}$
$2\cos\dfrac{C+D}{2}\cos\dfrac{C-D}{2}$
$2\sin\dfrac{C-D}{2}\sin\dfrac{C+D}{2}$
$2\sin\dfrac{C+D}{2}\sin\dfrac{C-D}{2}$

Question 24 of 25

24. Question

Find the correct identity for $\cos C – \cos D$.

$2\sin\dfrac{C+D}{2}\sin\dfrac{D-C}{2}$
$2\cos\dfrac{C+D}{2}\cos\dfrac{C-D}{2}$
$2\sin\dfrac{D+C}{2}\sin\dfrac{D-C}{2}$
$2\sin\dfrac{C+D}{2}\sin\dfrac{C-D}{2}$

Question 25 of 25

25. Question

Which identity gives $\csc 2A = \frac{\sec A \cdot \csc A}{2}$?

Sum identity
Product identity
Reciprocal identity
Special case identity

Quiz	Trigonometry Formulas
Subject	Mathematics
Part	1
Questions	25