How do you simplify (tan(x)+cos(x)) / sec^2(x)? Trigonometry Right Triangles Relating Trigonometric Functions 1 Answer VinÃcius Ferraz Nov 27, 2015 sin x cos x + cos^3 x Explanation: = frac{frac{sin x}{ cos x} + cos x}{1/cos^2 x} = (frac{sin x}{ cos x} + cos x) * cos^2 x = (sin x + cos^2 x) * cos x Answer link Related questions What does it mean to find the sign of a trigonometric function and how do you find it? What are the reciprocal identities of trigonometric functions? What are the quotient identities for a trigonometric functions? What are the cofunction identities and reflection properties for trigonometric functions? What is the pythagorean identity? If sec theta = 4, how do you use the reciprocal identity to find cos theta? How do you find the domain and range of sine, cosine, and tangent? What quadrant does cot 325^@ lie in and what is the sign? How do you use use quotient identities to explain why the tangent and cotangent function have... How do you show that 1+tan^2 theta = sec ^2 theta? See all questions in Relating Trigonometric Functions Impact of this question 1427 views around the world You can reuse this answer Creative Commons License