1.

1. Convert \(\frac{2 \pi}{3}\) radian measure into degree measure.2. Prove that \(\frac{sin\, 5x + sin\, 3x}{cos\, 5x + cos \,3x}\) = tan 4x

Answer»

1. \(\frac{2 \pi}{3}\) = \(\frac{2 \pi}{3}\) x \(\frac{180}{\pi}\) = 120°

2. LHS

\(\frac{sin\, 5x + sin\, 3x}{cos\, 5x + cos \,3x}\)

\(\frac{2sin 4x \,cos x}{2 cos 4x \,cos x}\)

\(\frac{sin\, 4x}{cos \, 4x}\)

= tan 4x



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