SSC CPO 2024 PYQ — Question 114

The correcct answer is Option 1 i.e. -1.

(sin²A + cos^{​​​​​​​2}A) = 1 [Identity]

(1+ cotA - cosecA) (1 + tanA + secA) - 3(sin²A + cos²A)

Taking value of A as 45⁰.

⇒ (1+ cot45⁰ - cosec45⁰) (1 + tan45⁰ + sec45⁰) - 3(1)

= (1 + 1 - √ 2) (1 + 1 + √2) - 3  

= (2 - √2) (2 + √2) - 3

= (2)² - (√2)² - 3

= 4 - 2 - 3 

= -1