Math, asked by hardeechoudhary, 11 months ago

cos(90-A). Sin(90-A)/tan(90-A)= sin²A

Answers

Answered by yogitagautam72
9
cos(90°-A).sin(90°-A)/tan(90°-A) 
= sinAcosA/cotA 
= sinAcosAtanA 
= sinAcosAsinA/cosA 
= sin^2A
I hope it help you

hardeechoudhary: thanks
yogitagautam72: welcome
Answered by SillySam
12
HEYA MATE, HERE IS UR ANSWER

We will use the following identities

Cos (90-A)=sinA

Sin (90-A)=cos A

Tan (90-A)=cot A

So let's start.....

\frac{cos (90-A)×sin (90-A)}{tan (90-A)}

= \frac {sin A ×cos A}{cot A}

=\frac{Sin A×cos A}{\frac{Cos A}{sinA}}

=\frac {SinA×cos A×sinA}{cos A}

=Sin A×sin A

={Sin}^{2}A

\mathbb{Be\:Brainly}

hardeechoudhary: thanks
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