Trigonometrical Identities Test

Result

Trigonometrical Identities Test - 5

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Weekly Quiz Competition

Question 1
1 / -0

sin²28° + sin² 62° + tan² 38° - cot²52° + ¼ sec²30° =

A
4/3

B
1/2

C
3/2

D
2
Question 2
1 / -0

Evaluate

A
tan 90°

B
1

C
sin 45°

D
sin 0°
Question 3
1 / -0

The value of cos² 17°- sin² 73° will be:

A
1

B
1/3

C
0

D
-1
Question 4
1 / -0

Find the value of

A
-cot θ

B
-sin² θ

C
-cos² θ

D
-cosec² θ
Question 5
1 / -0

Find the value of (cos θ + sin θ)²+ (cos θ − sin θ)²

A
-2

B
0

C
1

D
2
Question 6
1 / -0

Find the value of

A
tan 90°

B
1

C
sin 45°

D
sin 0°
Question 7
1 / -0

If tan² 45° − cos² 30° = x sin 45°. cos 45°, then x =

A
2

B
1/2

C
-1/2

D
-2
Question 8
1 / -0

Find the value of

A
cot θ – cosec θ

B
cosec θ + cot θ

C
cosec²θ + cot² θ

D
(cot θ + cosec θ)²
Question 9
1 / -0

If the angle of depression of an object from a 75 m high tower is 30°, then the distance of the object from the tower is:

A
25√3m

B
50√3m

C
75√3m

D
150 m
Question 10
1 / -0

If a pole 6 m high cast shadow 2 m long on the ground, then the sun’s elevation is:

A
60°

B
45°

C
30°

D
90°
Question 11
1 / -0

Find the value of

A

B

C

D
Question 12
1 / -0

From a point on the ground the angle of elevation of the bottom and top of a water tank kept at the top of 20m high tower are 45° and 60° respectively. Find the height of the water tank.

A
14.64 m

B
366 m

C
12.25 m

D
1.73 m
Question 13
1 / -0

Evaluate

A
sin θ

B
cos θ

C
sec θ

D
tan θ
Question 14
1 / -0

(1 + tan A)² + (1 - tan A)²=

A
0

B
2 sec A

C
2 tan²A

D
2 sec² A
Question 15
1 / -0

Evaluate

A
0

B
1

C
-1

D
None of the above