Question

If x is an acute angle and sin(x+28°)=cos(3x-78°)
then the angle is​

Answer 1

Answer:

We know that sinФ=cos(90-Ф)

Thus, sin(x+28)⇒cos{90-(x+28)}⇒cos(62-x)

Thus, sin(x+28)=cos(62-x)......(1)

But,   sin(x+28)=cos(3x-78)...(2)

Subtract (1) and (2). You will get:

cos(62-x)=cos(3x-78)

We can equate cos.

62-x=3x-78

62+78=3x+x

140=4x

x=140/4

x=35°

HOPE THIS HELPS :D

Answer 2

Answer:

35 degrees

Step-by-step explanation:

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