Prove an identity 6 tan x - 6 tan y = 6 sin (x-y)/cos x cos y Use a Reciprocal Identity, and then rewrite as a single rational expression. Use an Addition or Subtraction Formula to simplify

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A: This question is related to trigonometric functions, we will solve it using given information.

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A: As per our guidelines we only solve one question and rest of the question will be reposted.

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A: topic- law of cosines

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A: Topic:- trigonometry

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A: a) Given:        2sin2θ+5sinθ-3=0 Let sinθ=x then 2x2+5x-3=0 This is in the form of quadratic…