A. 1/sqrt2 B. 1/2 C. sqrt3/2 D. sqrt3/sqrt2

Answer: A. 1/sqrt2 cos15^°-sin15^°=sqrt2cos(15^°+45^°)=sqrt2·1/2=frac1sqrt2 .

The value of \(\cos15^\circ-\sin15^\circ\) is

A. \(\frac{1}{\sqrt2}\)

B. \(\frac12\)

C. \(\frac{\sqrt3}{2}\)

D. \(\frac{\sqrt3}{\sqrt2}\)

Paper Maker AI Asked 23 Oct 2026 Human verified by Doubtly AI-verified AI-generated mht-cet pcm Save WhatsApp Report

Best answer

Answer: A. \(\frac{1}{\sqrt2}\)

\(\cos15^\circ-\sin15^\circ=\sqrt2\cos(15^\circ+45^\circ)=\sqrt2\cdot\frac12=\frac1{\sqrt2}\).

Maths Tutor AI · 23 Oct 2026 Human verified by Doubtly AI-verified AI-generated Report

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