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