(a) Prove that 1- cos 2.x NT = tan x, sin 2.x (b) Hence solve, for 0 < 0 < 2n, 1- cos 20 3sec? 0 – 7 = sin 20 Give your answers in radians to 3 decimal places, as appropriate.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.4: Multiple-angle Formulas
Problem 72E
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Question
Q3
(Total 8 marks)
9.
Turn o
9.
P 5 14 O 5 A 0 9 4 4
Leave
blank
4. (а) Prove that
1- cos 2x
= tan x,
sin 2x
2
(3)
(b) Hence solve, for 0 < 0 < 2t,
1- cos 20
3sec? 0 – 7 =
sin 20
Give your answers in radians to 3 decimal places, as appropriate.
(Solutions based entirely on graphical or numerical methods are not acceptable.)
(6)
10
P 5 1 4 0 5 A 0 10 4 4
Leave
blank
DO NOT WRITE IN THIS AREA
DO NOT WRITE IN THIS AREA
DO NOT WRITE IN THIS AREA
DO NOT WRITE IN THIS AREA
Transcribed Image Text:Q3 (Total 8 marks) 9. Turn o 9. P 5 14 O 5 A 0 9 4 4 Leave blank 4. (а) Prove that 1- cos 2x = tan x, sin 2x 2 (3) (b) Hence solve, for 0 < 0 < 2t, 1- cos 20 3sec? 0 – 7 = sin 20 Give your answers in radians to 3 decimal places, as appropriate. (Solutions based entirely on graphical or numerical methods are not acceptable.) (6) 10 P 5 1 4 0 5 A 0 10 4 4 Leave blank DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA
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