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Trigonometrical Ratios of Standard Angles [Including Evaluation of an Expression Involving Trigonometric Ratios] — MATHEMATICS STD 9 — Question

ICSE BoardEnglish MediumSTD 9MATHEMATICSTrigonometrical Ratios of Standard Angles [Including Evaluation of an Expression Involving Trigonometric Ratios]2 Marks
Question
Prove that: $\sin 60^\circ \cos 30^\circ + \cos 60^\circ . \sin 30^\circ = 1$
✓

Answer

$\text{LHS }=\sin 60^\circ \cos 30^\circ +\cos 60^\circ . \sin 30^\circ $
$=\frac{\sqrt{3}}{2} \frac{\sqrt{3}}{2}+\frac{1}{2} \frac{1}{2}$
$=\frac{3}{4}+\frac{1}{4}$
$=1$
$=\text{RHS}$

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