Math, asked by debanjanamukherjee22, 1 year ago

if sin3A+cos2B=2 then Cos 2A +Sin 3B=?

Answers

Answered by shadowsabers03
4

Answer:

1/2

Step-by-step explanation:

Here,


sin 3A + cos 2B = 2


Let sin 3A = cos 2B = 1


We know that,


sin 90 = 1


Here,


sin 3A = 1


∴ 3A = 90


A = 90 ÷ 3 = 30


We get A = 30 here.


Let's find B.


We know that,


cos 0 = 1


Here,


cos 2B = 1


∴ 2B = 0


B = 0 ÷ 2 = 0


We get B = 0.


Now,


cos 2A + sin 3B


= cos 2 × 30 + sin 3 × 0


= cos 60 + sin 0


= 1/2 + 0


= 1/2


Hope this may be helpful.


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