If, cot θ = 1, then what will be the value of cos 2θ + √3 cos2θ + sin2θ - cos2θ.
If, cot θ = 1, then what will be the value of cos 2θ + √3 cos2θ + sin2θ - cos2θ. Correct Answer √3/2
Given:
cot θ = 1
Calculations:
Cot θ = 1
θ = 45°
Now value of cos 2θ + √3 cos2θ + sin2θ - cos2θ at θ = 45°
cos 90° + √3 cos2 45° + sin2 45° - cos2.45°
⇒ 0 + √3 × (1/2) + (1/√2)2 - (1/√2)2
⇒ √3/2
∴ The value of the given equation will be √3/2
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Feb 20, 2025