TEST 11: Trig identities and trig
equations
MQ5 home Test 10
Test 12
MQ5 TEST 11A (answers below) Mr. Gary Jaye
INSTRUCTIONS: 1. Label all graphs and axes.
2. Express all answers in simplest form and SHOW ALL WORK.
In 1- 5, FILL IN the answers. [2 each]
| 1. An identity is an equation which is: |
|
2. If tanq =  , then cot(90° - q) = ?? |
3.Express 78.293° to the nearest MINUTE.
|
| 4. Evaluate sin(186 ° 13' 38'') to
FIVE decimal places. |
|
| 5. Sin-1 x = y means
that: ?? |
|
In 6 - 10, express in terms of a constant or a single function.
(SHOW
STEPS)
[5 each]
6.  |
| 7. secq - tanq sinq |
| 8. cosq cscq
cotq |
| 9.
2 +
2 1 - sin q 1 + sin q |
| 10. cot q + 1
tan q + 1 |
11. Solve for x given acute angles and csc(2x + 10) ° =
sec(5x - 25)° [3]
In 12 -14, FILL IN the value EXACTLY (no rounding). Express angles in RADIAN measure. [3 each]
| 12. Cos-1.5 |
13.  |
14.  |
15. Evaluate by SKETCHING and answer EXACTLY (no rounding): 
[5]
In 16 - 19, solve over 0° £ q < 360° to nearest degree by
SKETCHING.
16. 
[8]
17. cos q + 2 + sec q =
0
[8]
18. tan2q + sec q - 1 =
0
[10]
19. secq cscq = 2 cscq
[8]
20. Solve over 0° £ q < 360° to the nearest MINUTE: 7sin2q
+ 9sin q + 2 =
0
[14]
ANSWERS: 1. which is true
wherever it's defined 2. Ö(19)/7 3. 78° 18' 4. -0.10847 5.
the angle whose sine is x equals y. 6. 3 7. cotq
8. 1 9. 4sec2q 10. cotq 11. x = 15 12.p/3 13. Ö(3)/2 14. 3p/7 15. 15/17
16. {120°, 300°} 17. {180°} 18. {0°, 120°,
240°} 19. {60°, 300°} 20. {196° 36', 270°, 343° 24'}