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In triangle ABC prove that tan((A+B...

In triangle ABC prove that
`tan((A+B)/2)=cot. C/2`

Text Solution

Verified by Experts

`(i) sinA=sin(pi-(B+C))=sin(B+C)`
`(ii) sin2A=sin(2pi-(2B+2C))=-sin(2B+2C)`
`(iii)cosA=cos(pi-(B+C))=-cos(B+C)`
`(iv) tan((A+B)/2)=tan((pi-C)/2)=tan(pi/2-C/2)=cot(C/2)`
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CENGAGE PUBLICATION-TRIGONOMETRIC FUNCTIONS -SINGLE CORRECT ANSWER TYPE
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