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Andrew [12]
3 years ago
8

Sinxcosxtanx=1-cos^2x

Mathematics
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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