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Trigonometric Identities — Maths STD 10 — Question

Maharashtra BoardEnglish MediumSTD 10MathsTrigonometric Identities2 Marks
Question
Very-short and Short-Answer Questions.
Write the value of $\Big(\sin^2\theta+\frac{1}{1+\tan^2\theta}\Big).$
✓

Answer

$\sin^2\theta+\frac{1}{1+\tan^2\theta}$$=\sec^2\theta+\frac{1}{\sec^2\theta}$
$=\sin^2\theta+\frac{1}{\frac{1}{\cos^2\theta}}$
$=\sin^2\theta+\cos^2\theta$
$=1$

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