The value of (sin4 45°+ cos4 60°) + (tan4 45°+ cot4 45°) is:

This question was previously asked in
SSC CPO 2022 Tier-I Official Paper (Held On : 9 Nov 2022 Shift 2) [Answer Key]
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Answer (Detailed Solution Below)

Option 1 :
Free
SSC CPO : General Intelligence & Reasoning Sectional Test 1
50 Qs. 50 Marks 35 Mins

Detailed Solution

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Given:

(sin4 45°+ cos4 60°) + (tan4 45°+ cot4 45°) 

Concept Used:

sin 45° = , cos 60° = , tan 45° = 1, cot 45° = 1 

Calculation:

⇒ According to the question,

⇒ (sin4 45°+ cos4 60°) + (tan4 45°+ cot4 45°) 

⇒ Putting the values of the angles in the above equation we get,

⇒ ()4 + ()4 + (1 + 1) =  +  + 2

⇒  =  = 

Therefore, the value of (sin4 45°+ cos4 60°) + (tan4 45°+ cot4 45°) is .

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