SOLUTION: Find the solution to the given trig equation for 0 is less than or equal to 0 is less than or equal to 2.
sin^2 x - sinx = cos^2x
Algebra.Com
Question 881259: Find the solution to the given trig equation for 0 is less than or equal to 0 is less than or equal to 2.
sin^2 x - sinx = cos^2x
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Find the solution to the given trig equation for 0 is less than or equal to 0 is less than or equal to 2pi
sin^2 x - sinx = cos^2x
-----------------
sin^2(x) - sin(x) = 1 - sin^2(x)
------
2sin^2(x) - sin(x) - 1 = 0
------
(2sin(x)+1)(sin(x)-1) = 0
-------
sin(x) = -1/2 or sin(x) = 1
----------------------------------
If sin(x) = -1/2, x = (7/6)pi or x = (11/6)pi
------
If sin(x) = 1, x = pi/2
================================
Cheers,
Stan H.
-----------------
RELATED QUESTIONS
Find the solution to the given trig equation for 0 is less than or equal to 0 is less... (answered by Fombitz)
2 sin^2x+sinx=1
Find all solutions to each equation for 0 less than or equal too x... (answered by stanbon)
given tan(x) = 3/4 0 is less than or equal to x is less then or equal to pi/2 find sin... (answered by lwsshak3)
Solve for x where x is a real number,
sin 2x = sin x, 0 less than or equal to x less... (answered by stanbon)
Use an algebraic method to find the exact solution(s) for sin 2x = sin x, where 0 is less (answered by hammy)
If 0 degrees less than or equal to x less than or equal to 360 degrees, solve the... (answered by ad_alta)
if sinx=2/5, where 0 less than or equal to x less than or equal to 90°. without using... (answered by Alan3354)
1.Interval 0 is less than or equal to x which is less than or equal to 2pie. Solution of... (answered by lwsshak3)
1.Interval 0 is less than or equal to x which is less than or equal to 2pie. Solution of... (answered by lwsshak3)