Use the identities for sin(* + *) and sin(* - *) to solve,  Add the left and right sides of the identities and derive the product-to-sum formula for sin * cos *.

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A: Given

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A: We know; sin (A- B) = sinA.cosB + cosA.sinB To show:    sin(α - β)/sin α cos β = 1 - cot α tan β

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A: We first write it using exponents.

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A: Part(a) Given parabola  The graph of the given parabola is

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A: Given,

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Fundamentals of Trigonometric Identities

Trigonometric Identities are the equalities that involve trigonometry functions and hold for all the values of variables given in the equation.