I think it's A, but I'm not sure if this is the correct answer. I apologize if it is wrong.
Answer:
Cos x = 2/3
Explanation:
Given expression:
3sinx = 2tanx
Find:
Simplify expression......
Computation:
By taking given trigonometric equation
⇒ 3sinx = 2tanx
Using substitution method...
⇒ sinx = [2/3]tax
⇒ sinx / tanx = 2/3
⇒ sinx / [sinx / cosx] = 2/3
⇒ [sinx × cosx] / sinx = 2/3
⇒ cosx = 2/3
Simplify expression
Cos x = 2/3
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