0
Just to make it easier to see (and write), let's call sin(x) 'S' for a while.
2 S2 = 1 - S
Add S to each side ==> ( 2 S2 + S = 1 )
Subtract 1 from each side:
2 S2 + S - 1 = 0
This is just a plain old quadratic equation, which is easy to factor and solve.
(2S - 1) (S + 1) = 0
2S - 1 = 0
2S = 1
S = 0.5
S + 1 = 0
S = -1
Those are the two solutions for 'S'.
Now it's time to recall that 'S' is really sin(x).
sin(x) = 0.5
x = 30° and 150°
sin(x) = -1
x = 270°
What else can I help you with?
What is sin squared equal to?
Sin squared is equal to 1 - cos squared.
What is 1 minus cos squared?
sin squared
What is sin squared x minus cos squared x?
Sin squared, cos squared...you removed the x in the equation.
2 sin squared x plus sin x minus 1 is equal to 0 solve for x?
2 sin2(x) + sin(x) - 1 = 0(2 sin + 1) (sin - 1) = 0Either 2 sin(x) + 1 = 02sin(x) = -1sin(x) = -0.5x = 210°, 330°or sin(x) - 1 = 0sin(x) = 1x = 90°
How do you solve 2 sin squared x?
Do sin(x), square it, and then multiply it by two.
How do you prove that the sin over one minus the cosine minus one plus the cosine over the sine equals zero?
Multiply both sides by sin(1-cos) and you lose the denominators and get (sin squared) minus 1+cos times 1-cos. Then multiply out (i.e. expand) 1+cos times 1-cos, which will of course give the difference of two squares: 1 - (cos squared). (because the cross terms cancel out.) (This is diff of 2 squares because 1 is the square of 1.) And so you get (sin squared) - (1 - (cos squared)) = (sin squared) + (cos squared) - 1. Then from basic trig we know that (sin squared) + (cos squared) = 1, so this is 0.
If cos and theta 0.65 what is the value of sin and theta?
You can use the Pythagorean identity to solve this:(sin theta) squared + (cos theta) squared = 1.
What does 1 - cos squared equal?
Note that an angle should always be specified - for example, 1 - cos square x. Due to the Pythagorean formula, this can be simplified as sin square x. Note that sin square x is a shortcut of (sin x) squared.
How do you solve sin x multiplied to Sin squared x is equal to 1?
sin(x)*sin2(x) = 1 so sin3(x) = 1 so that sin(x) = cuberoot(1) = 1 then x = pi/2 + n*pi where n is an integer.
What does 2sin squared theta equal and why?
It is 2*sin(theta)*sin(theta) because that is how multiplication is defined!
Does cos squared x over sin squared x equal cot squared x?
Yes. Except where sin x = 0, because then you would be dividing by zero so the quotient is undefined.
What does cos squared x - Sin squared x equal?
2 x cosine squared x -1 which also equals cos (2x)
