find the value of tan 2A if cos 3 A =sin45°
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In this question, we will use the relationship between the trigonometric ratios to obtain the value of A.
Given that Cos 3A = Sin45°
Then by this relationship we can get value of 3 A.:
Cos (x) = Sin (90-x)
Applying this in the question we have :
Sin 45° = Cos (90° - 45°)
Thus 3A = 45°
A = 15°
2A = 15 × 2 =30
tan 30 = 1/√3
Hope this helps....
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