Question

If 40+x is an acute angle and cos(60+x)=sin30
Find the value of x​

Answer 1

Answer:

Given,

cos (40 + x) = sin 30

therefore,

cos (40 + x) = 1/2 (because sin 30 = 1/2)

we know,

cos 60 = 1/2

Therefore,

cos (40 + x) = cos 60

or 40 + x = 60

x = 60 - 40 = 20

$\huge\boxed{x = 20}$

Step-by-step explanation:

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Answer 2

Answer:

Given,

cos (40 + x) = sin 30

therefore,

cos (40 + x) = 1/2 (because sin 30 = 1/2)

we know,

cos 60 = 1/2

Therefore,

cos (40 + x) = cos 60

or 40 + x = 60

x = 60 - 40 = 20

x = 20

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