P 10 a b answers to 3 significant figures. Show that the equation 2 sin² x - 3 sin x cos x + cos²x = 0 can be written in the form 2 tan²x-3 tanx+1=0. Hence solve the equation 2 sin²x − 3 sin x cos x + cos²x = 0 giving all solutions in the interval -180° < x < 180°.
P 10 a b answers to 3 significant figures. Show that the equation 2 sin² x - 3 sin x cos x + cos²x = 0 can be written in the form 2 tan²x-3 tanx+1=0. Hence solve the equation 2 sin²x − 3 sin x cos x + cos²x = 0 giving all solutions in the interval -180° < x < 180°.
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°.
Related questions
Question
Answer all of 10
![P
8
Find the values of x in the interval −180° ≤ x ≤ 180° that satisfy
4 cos²x - 5 sin x − 5 = 0.
9 a
b
10 a
b
Given that 6 sin² x + cos x = 4, find the exact values of cos x.
Hence solve the equation 6 sin² x + cos x = 4 for 0° ≤ x ≤ 360° giving your
answers to 3 significant figures.
Show that the equation 2 sin² x
form 2 tan² x 3 tan x + 1 = 0.
Hence solve the equation 2 sin² x
the interval -180° < x < 180°.
3 sin x cos x + cos²x = 0 can be written in the
3 sin x cos x + cos²x =
0 giving all solutions in](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F419b3e8b-3042-4836-af59-c9999b20f642%2F492c090c-e8ce-455a-a55f-ff645da1487e%2Fov8jt77_processed.jpeg&w=3840&q=75)
Transcribed Image Text:P
8
Find the values of x in the interval −180° ≤ x ≤ 180° that satisfy
4 cos²x - 5 sin x − 5 = 0.
9 a
b
10 a
b
Given that 6 sin² x + cos x = 4, find the exact values of cos x.
Hence solve the equation 6 sin² x + cos x = 4 for 0° ≤ x ≤ 360° giving your
answers to 3 significant figures.
Show that the equation 2 sin² x
form 2 tan² x 3 tan x + 1 = 0.
Hence solve the equation 2 sin² x
the interval -180° < x < 180°.
3 sin x cos x + cos²x = 0 can be written in the
3 sin x cos x + cos²x =
0 giving all solutions in
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