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Question

Find the value of θ:

3tan2θ=cos60°+sin45°cos45°


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Solution

Step-1Trigonometric ratios value:

As,

cos60°=12,sin45°=12=cos45°tan30°=13

Step-2 Solving the given expression:

In order to determine the value of θ, we will simplify the given expression,

3tan2θ=cos60°+sin45°cos45°3tan2θ=12+12×123tan2θ=12+123tan2θ=1tan2θ=13tan2θ=tan30°2θ=30°θ=302=15°

Hence, the value of θ in the given expression will be 15°.


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