মান নির্ণয়

Choose the correct answer.

(1+tan2θ)sin2θ=(1+{ \tan }^{ 2 }\theta ){ \sin }^{ 2 }\theta =

কাজু বাদাম

(1+tan2θ)sin2θ=(1+sin2θcos2θ)sin2θ=(cos2θ+sin2θcos2θ)sin2θ=(1cos2θ)sin2θ=sin2θcos2θ=tan2θ \begin{array}{l}\left(1+\tan ^{2} \theta\right) \cdot \sin ^{2} \theta=\left(1+\frac{\sin ^{2} \theta}{\cos ^{2} \theta}\right) \cdot \sin ^{2} \theta \\ =\left(\frac{\cos ^{2} \theta+\sin ^{2} \theta}{\cos ^{2} \theta}\right) \cdot \sin ^{2} \theta \\ =\left(\frac{1}{\cos ^{2} \theta}\right) \cdot \sin ^{2} \theta \\ =\frac{\sin ^{2} \theta}{\cos ^{2} \theta} \\ =\tan ^{2} \theta\end{array}

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