Math, asked by fa6745689, 9 months ago

if cosa +cosb =1/3 and sina+sin b =1/4 so prove that tana+b/2=3/4

Answers

Answered by Parithosh007

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Answered by ThinkingBoy

$Cosa + Cosb = 1/3$

$Cos\frac{a+b}{2}Cos\frac{a-b}{2} = 1/3$ .... (1)

$Sina+Sinb = 1/4$

$Sin\frac{a+b}{2}Cos\frac{a-b}{2} = 1/4$ .... (2)

(2)÷(1)

$\frac{Sin\frac{a+b}{2}Cos\frac{a-b}{2}}{Cos\frac{a+b}{2}Cos\frac{a-b}{2}} = \frac{1/4}{1/3}$

$Tan\frac{a+b}{2} = 3/4$

Hence Proved

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