SSC CGL 2022 PYQ — Question 51

The correct answer is Option 1 i.e. 2.

Concept Used: 

sin²A + cos²A = 1

cos(90 - A) = sinA

tan(90 - A) = cot A

Explanation:

From the given question,

cos²35° + cos55°sin35° + $tan34^0 \over cot56^0$

⇒ cos²35° + cos(90 - 35°)sin35° + $tan(90 - 56) \over cot56^0$

⇒ cos²35° + sin²35° + 1 

⇒ 1 + 1 = 2

Hence the value of  cos²35° + cos55°sin35° + $tan34^0 \over cot56^0$ is 2.