CGL 21 Tier 2 Maths


Question 1

What is the value of $$\frac{\cos50^{\circ}}{\sin40^{\circ}}+\frac{3cosec 80^{\circ}}{\sec10^{\circ}}- 2\cos50^{\circ} cosec40^{\circ}°$$  ?​​​​​​​

$$\frac{cos50°}{sin 40°} + \frac{ 3 cosec80°}{  sec10°} - 2cos50°.cosec40° $$ का मान क्या है?


Options

A

5

5

B

3

3

C

4

4

D

2

2


Solution:

Correct Answer:

D

2

2


$$\frac{cos50°}{sin 40°} + \frac{ 3 cosec80°}{  sec10°} - 2cos50°.cosec40°$$

cos50° = cos(90° - 50°) = sin40°

cosec80° = sec10°

cosec40° = sec50°

1 + 3 - 2 = 2

$$\frac{cos50°}{sin 40°} + \frac{ 3 cosec80°}{  sec10°} - 2cos50°.cosec40°$$

cos50° = cos(90° - 50°) = sin40°

cosec80° = sec10°

cosec40° = sec50°

1 + 3 - 2 = 2

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