Question

if sin alpha+beta=1,sin alpha-beta=1/2,alpha,beta belongs to[0, pie/2] then find the value of tan ( alpha+2 beta) × tan( 2alpha+ beta)

Answer 1

Answer:

ANSWER –_/3/3

HOPE IT HELPS YOU DEAR BRAINLIEST

Answer 2

$</p><p>[tex]\huge\pink{ANS}\blue{WER}$

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hey mate here is ur answer--------------------------------------♧

$\sin( \alpha + \beta ) = 1$

and

$\sin( \alpha - \beta ) = 1 \div 2$

$\sin( \alpha + \beta ) = \sin90 \: and \sin( \alpha - \beta ) = \sin30$

$( \alpha + \beta ) = 90 \: and \ \: \alpha - \beta = 30$

$\huge\red{By \: adding}$

$\alpha = 60 \: and \ \: \beta = 30$

$\tan( \alpha + 2 \beta ) = \tan(60 + 2x \: 30) = \tan(120)$

$</u></em></p><p><em><u>[tex] \tan( \alpha + 2 \beta ) = - \sqrt{3}$

Now ,

$\tan(2 \alpha + \beta ) = \tan(2 \times 60 + 30) = \tan(150)$

$\tan(2 \alpha + \beta ) = - \sqrt{3} \div 3$

I hope this helps u

have a nice day ☘✌.