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P-2 Trigonometry — Maths STD 10 — Question

Maharashtra BoardEnglish MediumSTD 10MathsP-2 Trigonometry1 Mark
Question
Prove that:
$sin^4 \theta – cos^4 \theta = 1 – 2cos^2 \theta$
 
✓

Answer

L.H.S $= sin^4\theta – cos^4\theta$
$= (sin^2\theta – cos^2\theta )(sin^2\theta + cos^2\theta )$
$= (sin^2\theta – cos^2\theta )$
$= (1 – cos^2\theta – cos^2\theta )$
$= 1- 2cos^2\theta$

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