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Trigonometric Ratios of Complementary Angles — Maths STD 10 — Question

Maharashtra BoardEnglish MediumSTD 10MathsTrigonometric Ratios of Complementary Angles1 Mark
Question
Without using trignometric tables, prove that:
$\cos^275^\circ+\cos^215^\circ=1$
✓

Answer

$\text{L.H.S.}=\cos^275^\circ+\cos^215^\circ$
$=\cos^2\big(90^\circ-15^\circ\big)-\cos^215^\circ$
$=\sin^215^\circ-\cos^215^\circ$
$=1$
$=\text{R.H.S}$

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