Consider the following equation. sin(x) + 2sin(x) cos(x) = 0 (a) Solve for all radian solutions. Give all answers as exact values in radians. Do not use a calculator. (Enter your answer in the form a + bk, where a  [0, 2?), b is the smallest possible positive number of radians, and k represents any integer. x1 = + kx2 = +kx3 =  + k(b) Solve for t if 0 ≤ x < 2?. x1 = x2 = x3 = x4 =

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter7: Analytic Trigonometry
Section7.4: Basic Trigonometric Equations
Problem 2E: The basic equation sinx=2 has_________no/one/infinitely many solutions, whereas the basic equation...
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Consider the following equation.

sin(x) + 2sin(x) cos(x) = 0

(a) Solve for all radian solutions. Give all answers as exact values in radians. Do not use a calculator. (Enter your answer in the form a + bk, where a  [0, 2?), b is the smallest possible positive number of radians, and k represents any integer. 
x1 = + k
x2 = +k
x3 =  + k

(b) Solve for t if 0 ≤ x < 2?. 
x1
x2
x3
x4
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