Solve sin² x = sin x.
The answer is
x = 0 or π/2 or π.
Here's how you can find this result:
Let s = sin x.
Then, we have,
s² - s = 0; whence,
s(s - 1) = 0.
Now, when the product of two numbers is zero, then one or other of them must equal zero.
Hence, either,
s = 0
OR
s - 1 = 0; that is,
sin x = 1 or 0.
For 0 ≤ x < 360°,
x = 0° or 90° or 180°;
those being the only angles whose sine equals either 1 or 0.
In term of radian measure, x = 0 or π/2 or π.
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.
Cos^2 x = 1 - sin^2 x
Yes. 'sin2x + cos2x = 1' is one of the most basic identities in trigonometry.
22
sin2 x = (1/2)(1 - cos 2x) cos2 x = (1/2)(1 + cos 2x) Multiplying both you get (1/4) (1 - cos2 2x) Which is equal to (1/4) (1 - (1/2) (1 + cos 4x) = (1/8) (2 - 1 - cos 4x) = (1/8) (1 - cos 4x) Or If it is the trigonomic function, sin squared x and cosine squared x is equal to one
Do sin(x), square it, and then multiply it by two.
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.
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.
Yes. Except where sin x = 0, because then you would be dividing by zero so the quotient is undefined.
2 x cosine squared x -1 which also equals cos (2x)
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°
Cos^2 x = 1 - sin^2 x
Answer 1 Put simply, sine squared is sinX x sinX. However, sine is a function, so the real question must be 'what is sinx squared' or 'what is sin squared x': 'Sin(x) squared' would be sin(x^2), i.e. the 'x' is squared before performing the function sin. 'Sin squared x' would be sin^2(x) i.e. sin squared times sin squared: sin(x) x sin(x). This can also be written as (sinx)^2 but means exactly the same. Answer 2 Sine squared is sin^2(x). If the power was placed like this sin(x)^2, then the X is what is being squared. If it's sin^2(x) it's telling you they want sin(x) times sin(x).
Sin squared, cos squared...you removed the x in the equation.
sin x times sin x. or 1/cosec2(x) or 1 - cos2(x) or tan2(x)*cos2(x) etc, etc.
Yes. 'sin2x + cos2x = 1' is one of the most basic identities in trigonometry.
1 - 2cos2(x) and also 2sin2(x) - 1 Take your choice. Use whichever one is more convenient.