1.

यदि A, B तथा C एक त्रिभुज के कोण है तो निम्न में से गलत सम्भन्ध छाँटिएA. `sin((A+B)/(2))=cos((C)/(2))`B. `cos((A+B)/(2))=sin((C)/(2))`C. `tan((A+B)/(2))=sec((C)/(2))`D. `cot((A+B)/(2))=tan((C)/(2))`

Answer» Correct Answer - c
`A+B+C=pi=180^(@)`
`rArr(A+B)/(2)=(180)/(2)-(C)/(2)`
`rArr sin((A+B)/(2))`
`=sin((pi)/(2)-(c)/(2))=cos( c)/(2)`
similarly
`cos((A+B)/(2))=sin(c )/(2)`
`cot((A+B)/(2))=tan(c)/(2)`
`tan((A+B)/(2))=cot(c)/(2)`
So, option (c) is incorrect


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