Math Scene - Trigonometry Rules- Quiz 2

Test 2 Trig Formulas

Instructions.

Read each question carefully and choose the answer that you think is most likely to be correct. You can only choose one answer for each question. When you are ready, mark your answers in the spaces on the computer screen and click on the button 'Send answers'. Good luck

Do the following examples, putting a check mark by the correct answer.

1. Use the values cos 45° = 2/2, sin 45° = 2/2, cos 60° = ½ and sin 60° = 3/2 to find the exact value of sin 105°.

Check here	Possible answers:
A	1 + /₄
B	(1 + )
C	(1 + )/₂
D	(1 + )/₄

2. Which of the following is equivalent to sin (x + 180°)?

Check here	Possible answers:
A	sin x
B	cos x
C	-sin x
D	-cos x

3. Which of the following is equivalent to cos (x − 90°)?

Check here	Possible answers:
A	sin x
B	cos x
C	-sin x
D	-cos x

4. Which of the following formula is equal to sin 3x?

Check here	Possible answers:
A	sin 3x = 3 sin x − 4 sin³x
B	sin 3x = 3 sin x + 4 sin³x
C	sin 3x = 4 sin² x − 3 sin³x
D	sin 3x = 4 sin² x + 3 sin³x

5. Simplify the expression cos x sin 2x − sin x cos 2x.

Check here	Possible answers:
A	1
B	sin x
C	sin x + cos x
D	cos x − sin²x

6. Solve the equation sin 2x − 2 sin x = 0.

Check here	Possible answers:
A	k^×p/₂
B	k×²^p/₃
C	k×p
D	k×2p

7. Solve the equation cos²x − sin² x = cos x.

Check here	Possible answers:
A	k×^p/₂
B	k×²^p/₃
C	k×p
D	k×2p

8. Solve the equation sin²x + cos 2x = 1.

Check here	Possible answers:
A	k×^p/₂
B	k×²^p/₃
C	k×p
D	k×2p

9. Solve the equation cos 2x° + sin x° = 1 on the interval 0° x° < 360°.

Check here	Possible answers:
A	0° og 180°
B	0°, 30° og 210°
C	0°, 150° og 180°
D	0°, 30°, 150° og 180°

10. Solve the equation sin 2x° − cos 2x° + 2 cos²x° = 0 on the interval 0° x° < 360°.

Check here	Possible answers:
A	135° og 315°
B	45°, 135° og 315°
C	45°, 135°, 225° og 315°
D	0°,45°, 135°, 180°, 225° og 315°

Percentage answered correctly =

Correct answers:	Your answers: