Question

if cos(theta) = root 3
then what is the value of theta..????
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Answer 1

The answer is given below :

RULE :

sinA cosB + cosA sinB = sin(A + B)

SOLUTION :

Given,

cosθ + √3 sinθ = 2

⇒ 1/2 cosθ + √3/2 sinθ = 1

⇒ sin30° cosθ + cos30° sinθ = 1

⇒ sin(30° + θ) = sin90°

⇒ 30° + θ = 90°

⇒ θ = 90° - 30°

⇒ θ = 60°

Hence, the value of θ is 60°.

Answer 2

Answer is given in attachment.