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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 |
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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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