Compute answers using Wolfram's breakthrough technology & knowledgebase, relied on by millions of students & professionals. For math, science, nutrition, history, geography, engineering, mathematics, linguistics, sports, finance, music…

In trigonometry, trigonometric identities are equalities that involve trigonometric functions and are true for every value of the occurring variables for which both sides of the equality are defined. Geometrically, these are identities involving certain functions of one or more angles.

Basic trig identities are formulas for angle sums, differences, products, and quotients; and they let you find exact values for trig expressions.

The formula for sin 2 x is sin 2 x = 1 - cos 2 x and sin 2 x = (1 - cos 2x)/2 ☛ Related Articles: Derivative of Sin 2x; Integral of Sin 2x and Sin^2x; Derivative of Cos2x

As many people have pointed out by now, $\sin^2 x$ is simply a "nickname" for $(\sin x)^2$. Therefore, $\sin^2\ 30 = (\sin 30)^2 = (1/2)^2 = 1/4$. As it happens, though, there is another useful thing we can say about $\sin^2 x$:

The two formulas of sin squared x are i) sin^2x = 1-cos^2x and ii) sin^2x =(1 - cos 2x)/2.

tan(x y) = (tan x tan y) / (1 tan x tan y) sin(2x) = 2 sin x cos x cos(2x) = cos ^2 (x) - sin ^2 (x) = 2 cos ^2 (x) - 1 = 1 - 2 sin ^2 (x)

$\sin^2(x) = \sin(x)^2 = (\sin(x))^2$ $\sin^2(x)$ is used more often because it's easier to write especially dealing with complex equations.

sin(x) = 1, sin(x) =0. Combine all the solutions x= 2π +2πn, x= 2πn, x =π +2πn. What is the general solution for sin^2 (x)=sin (x) ?

Jun 6, 2024 · Sin 2x is expressed in different forms using various trigonometric functions. The most common formula of sin 2x is, sin 2x = 2 sinx cosx. It can also be expressed in terms of the tan function. Sin 2x is a double-angle identity in trigonometry.