Ask Me Help Desk - Trigonometric identities

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trigonometric identities

hey guys help me to prove this one (sintheta-tantheta)square=(tan square theta)(cos theta-1)square

$(sin{\theta}-tan{\theta})^{2}=sin^{2}{\theta}-2tan{\theta}sin{\theta}+tan^{2}{\theta}$

Use the identity: $sin^{2}{\theta}=tan^{2}{\theta}cos^{2}{\theta}$

Hammer it into shape.

When it looks like:

$tan^{2}{\theta}(cos{\theta}-1)^{2}=tan^{2}{\theta}cos^{2}{\theta}-2tan^{2}cos{\theta}+tan^{2}{\theta}$

you're there.

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