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Introduction to Trigonometry — Maths STD 10 — Question

Gujarat BoardEnglish MediumSTD 10MathsIntroduction to Trigonometry1 Mark
Question
Evaluate: $2 \tan ^2 45^{\circ}+\cos ^2 30^{\circ}-\sin ^2 60^{\circ}$
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Answer

We have $2 \tan ^{2} 45^{\circ}+\cos ^{2} 30^{\circ}-\sin ^{2} 60^{\circ}$
now put values, we get
$ = 2{(1)^2} + {\left( {\frac{{\sqrt 3 }}{2}} \right)^2} - {\left( {\frac{{\sqrt 3 }}{2}} \right)^2}$
$ = 2 + \frac{3}{4} - \frac{3}{4}$
= 2

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