Question #f37c0 Trigonometry Right Triangles Relating Trigonometric Functions 1 Answer A08 Feb 8, 2017 #sec^2theta# Explanation: Given expression is # secthetaxxtantheta/sintheta# rewriting in terms of #sin and cos# we get # 1/costhetaxx(sintheta)/costhetaxx1/sintheta# #=> 1/costhetaxx1/costheta# #=> 1/cos^2theta# #=> sec^2theta# 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 1564 views around the world You can reuse this answer Creative Commons License