Q6 (i) Show that sin 20(tan 0+ cot0) = 2. (ii) Hence (a) find the exact value of tan+tan+cot+cot, (b) solve the equation sin 40(tan 0 + cot0) = 1 for 0 < 0.

Trigonometry (11th Edition)
11th Edition
ISBN:9780134217437
Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Chapter1: Trigonometric Functions
Section: Chapter Questions
Problem 1RE: 1. Give the measures of the complement and the supplement of an angle measuring 35°.
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Q6
(i) Show that sin 20 (tan 0 + cot0) = 2.
(ii) Hence
(a) find the exact value of tan+tan+cot+cot,
(b) solve the equation sin 40(tan 0 + cot0) = 1 for 0 <0<,
(c) express (1-cos20)² (tan 10+ cot10)³ in terms of sin 0.
O
r
Transcribed Image Text:Q6 (i) Show that sin 20 (tan 0 + cot0) = 2. (ii) Hence (a) find the exact value of tan+tan+cot+cot, (b) solve the equation sin 40(tan 0 + cot0) = 1 for 0 <0<, (c) express (1-cos20)² (tan 10+ cot10)³ in terms of sin 0. O r
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