Question

If sin 2A = cos (A+30) then A = ​

Answer 1

Answer:

Given sin2A=cos(A−18

∘

)

⟹cos(90

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−2A)=cos(A−18

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)

⟹90

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−2A=A−18

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⟹2A+A=90

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+18

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⟹3A=108

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⟹A=36

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Step-by-step explanation:

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Answer 2

Step-by-step explanation:

Given: sin 2A =cos(A+30)

To find: A=?

Solution:

sin 2A= cos(A+30)

or cos(90-2A)= cos(A+30)

or 90-2A=A+30

or 90-30=3A

or 60=3A

or A=60/3

or A=20

Answer: A=20