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 1222 views around the world You can reuse this answer Creative Commons License