Stitz-Zeager_College_Algebra_e-book

2 2 2 104 trigonometric identities 669 x for nd

Info iconThis preview shows page 1. Sign up to view the full content.

View Full Document Right Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: 6. Use Theorem 10.4 to answer the following. (a) If θ = 12◦ and the side adjacent to θ has length 4, how long is the hypotenuse? (b) If θ = 78.123◦ and the hypotenuse has length 5280, how long is the side adjacent to θ? (c) If θ = 59◦ and the side opposite θ has length 117.42, how long is the hypotenuse? (d) If θ = 5◦ and the hypotenuse has length 10, how long is the side opposite θ? (e) If θ = 5◦ and the hypotenuse has length 10, how long is the side adjacent to θ? (f) If θ = 37.5◦ and the side opposite θ has length 306, how long is the side adjacent to θ? 7. For each of the following points, let θ be the angle in standard position whose terminal side contains the point. Compute cos(θ) and sin(θ). (a) P (−7, 24) (b) Q(3, 4) (c) R(5, −9) (d) T (−2, −11) 8. Let α and β be the two acute angles of a right triangle. (Thus α and β are complementary angles.) Show that sin(α) = cos(β ) and sin(β ) = cos(α). The fact that co-functions of complementary angles are equal in this case is n...
View Full Document

Ask a homework question - tutors are online