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 1692 views around the world You can reuse this answer Creative Commons License