1.

If √3cotθ = 1, 0 ≤ θ ≤ 90°, then the value of cos2θ - sin2θ  is1. 1/22. -1/23. 1/√24. None of the above

Answer» Correct Answer - Option 2 : -1/2

Given 

√3cotθ = 1 

Calculation 

cotθ = 1/√3 

⇒ θ = 60° 

⇒ cos2θ - sin2θ 

⇒ cos260 - sin260 

⇒ (1/2)- (√3/2)2

⇒ 1/4 - 3/4 = -2/4

⇒ -1/2 

 The value of cos2θ - sin2θ is -1/2



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