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3 years ago

8

Sinxcosxtanx=1-cos^2x

1 answer:

ycow [4]3 years ago

7 0

Step-by-step explanation:

$sin x \: cos x \: tanx = 1 - {cos}^{2} x \\ LHS \\= sin x \: cos x \: tanx \\ =sin x \: cos x \: \times \frac{sin x}{cos x} \\ = sin x \: \times \frac{sin x}{1} \\ ={sin}^{2} x \\ = 1 - {cos}^{2} x \\ = RHS \\ \therefore \: sin x \: cos x \: tanx = 1 - {cos}^{2} x \\ Hence \: Proved.$

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