A b c are interior angles of triangle abc prove that cosec a + b by 2 is equal to 60 by 2
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Answer:
Weknowthat,InΔABC,
A+B+C=180°[anglesumproperty]
⇒A+B=180°−C
⇒(A+B)/2=(180°−C)/2
=(A+B)/2=90°−C/2
⇒cosec(A+B)/2=cosec(90°−C/2) [as,cosec(90°−θ)=secθ]
⇒cosec(A+B)/2=sec(C/2)
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