trig
posted by Priya
Solve the given triginometric equation analytically. Use values of of x for 0 less than or equal to x less than 2pi
sin^2x  2sinx = 1
How do I get towards the answer of 3.569, 5.856
Thank you again

Reiny
hint:
sin^2 x  2sinx  1 = 0
use the quadratic formula to solve, your answer will be in radians.
I got sinx = 1√2 or sinx = 1+√2 (too big, sine has to be ≤ 1)
from sinx = 1√2 = .4142 x must be in quad III or IV
related acute angle in radians is .427
in III x = .427 + pi = 3.569
in IV x = 2pi  .427 = 5.856
can you take it from here?
Respond to this Question
Similar Questions

Math  Solving Trig Equations
Solve each equation for 0 is less than and equal to "x" is less than and equal to 360 3sinx = 2cos^{2}x  I don't know how to solve this equation...this is what I have, but I don't know if I'm on the right track or not 3sinx = … 
trig
Solve the given triginometric equation analytically. Use values of x for 0 less than or equal to x less than 2pi P.S Thanks Reiny for your last post, if you are still online. 
trig
Solve the triginometric equation analytically. Use values of x for 0 less then or equal to x less then 2pi The equation for this question is sin2x + cos2x = 0 
trig
Solve the given triginometric equation analytically 2 sinx = tanx 
trig
I am almost finished iwth my questionings:) Solve the given triginometric equation analytically sin4x  cos2x = 0 Priya 
trig
Solve the given triginometric equation analytically 7 sinx  2 = 3(2  sin x) If your are online, thank you my dear Reiny:) Priya 
Trigonometry
4. Find the exact value for sin(x+y) if sinx=4/5 and cos y = 15/17. Angles x and y are in the fourth quadrant. 5. Find the exact value for cos 165degrees using the halfangle identity. 1. Solve: 2 cos^2x  3 cosx + 1 = 0 for 0 less … 
Precalculs
I have no idea how to do these type of problems. Problem Solve each equation on the interval 0 less than or equal to theta less than 2 pi 42. SQRT(3) sin theta + cos theta = 1  There is an example … 
Math/Trig
Solve: sin x  2sin x cos x = 0 for 0 is less than or equal to x is less than 2pi. 
math
7. The tennis team is selling key chains as a fundraiser. If its goal is to raise is at least 180, how many key chains must it sell at $2.25 each to meet that goal?