Examine the following steps. Which do you think you might use to prove the identity Check all that apply. Write tan(x y) as sin (x y) over cos(x y). Use the sum identity for sine to rewrite the numerator. Use the sum identity for cosine to rewrite the denominator. Divide both numerator and denominator by cos(x)cos(y). Simplify fractions by dividing out common factors or using the tangent quotient identity.
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The correct options according given identity of tangent are;1) Write tan(x + y) as sin(x + y) over cos(x + y)2) Use the sum identity for sine to rewrite the numerator3) Use the sum identity for cosine to rewrite the denominator4) Divide both the numerator and denominator by cos(x)·cos(y)5) Simplify fractions by dividing out common factors or using the tangent quotient identityAccording to the statementwe have given that the a identity and we have to use in the given conditions.So, For this purpose, we know that theGiven that the required identity of Tangent is Tangent (x + y) = (tangent (x) + tangent (y))/(1 – tangent(x) × tangent (y)),we have:tan(x + y) = sin(x + y)/(cos(x + y))sin(x + y)/(cos(x + y)) = (Sin(x)·cos(y) + cos(x)·sin(y))/(cos(x)·cos(y) – sin(x)·sin(y))(Sin(x)·cos(y) + cos(x)·sin(y))/(cos(x)·cos(y) – sin(x)·sin(y)) = (Sin(x)·cos(y) + cos(x)·sin(y))/(cos(x)·cos(y))/(cos(x)·cos(y) – sin(x)·sin(y))/(cos(x)·cos(y))(Sin(x)·cos(y) + cos(x)·sin(y))/(cos(x)·cos(y))/(cos(x)·cos(y) – sin(x)·sin(y))/(cos(x)·cos(y)) = (tan(x) + tan(y))(1 – tan(x)·tan(y)∴ tan(x + y) = (tan(x) + tan(y))(1 – tan(x)·tan(y)After solving this identity according to the statement it is clear that all the options are correct.So, The correct options according given identity of tangent are;1) Write tan(x + y) as sin(x + y) over cos(x + y)2) Use the sum identity for sine to rewrite the numerator3) Use the sum identity for cosine to rewrite the denominator4) Divide both the numerator and denominator by cos(x)·cos(y)5) Simplify fractions by dividing out common factors or using the tangent quotient identityLearn more about Tangent herehttps://brainly.com/question/4470346Disclaimer: This question was incomplete. Please find the full content below.Question:Examine the following steps. Which do you think you might use to prove the identity Tangent (x) = StartFraction tangent (x) + tangent (y) Over 1 minus tangent (x) tangent (y) EndFraction question markCheck all that apply.-Write tan(x + y) as sin (x + y) over cos(x +y).-Use the sum identity for sine to rewrite the numerator.-Use the sum identity for cosine to rewrite the denominator.-Divide both numerator and denominator by cos(x)cos(y).-Simplify fractions by dividing out common factors or using the tangent quotient identity.#SPJ4