Question

if cos (3 x -10) = sin x find the value of x

Answer 1

Answer:

Required value of x is 25

Step-by-step explanation:

cos (3x - 10) = sin x

or, cos (3x - 10) = cos (90 - x). [sin x = cos(90 - x)]

or, 3x - 10 = 90 - x.

or, 3x + x = 90 + 10. [ By transposition]

or, 4x = 100

or, x = 25

Therefore, required value of x is 25.

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Answer 2

answer is in the explanation

Step-by-step explanation:

cos(3x-10)=sinx

cos(3x-10)=cos(90-x)

on comparing:

3x-10=90-x

3x-x=90+10

2x=100

x=100/2

x=50