Question

If so 2a=cos(a-30)ever 2a is a acute angle find a

Answer 1

Given, sin 2a = cos(a-30°)
cos(90°-2a) = cos(a-30°). [°•° sin x = cos(90°- x)]
90°-2a = a-30°
90°+30° = 2a+a
120° = 3a
•°• a = 40°

Answer 2

sin 2a = cos(a-30°)     (given)

cos(90°-2a) = cos(a-30°). [°•° sin x = cos(90°- x)]

90°-2a = a-30°

90°+30° = 2a+a

120° = 3a

•°• a = 40°

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Step-by-step explanation: