The expression that completes the identity ( \sin u \cos v ) is ( \frac{1}{2} (\sin(u + v) - \sin(u - v)) ). This identity is derived from the product-to-sum formulas in trigonometry, which relate products of sine and cosine functions to sums and differences of sine functions.
The expression ( \sin(72^\circ - a) ) can be rewritten using the sine difference identity: [ \sin(72^\circ - a) = \sin(72^\circ) \cos(a) - \cos(72^\circ) \sin(a). ] Thus, ( \sin(72^\circ - a) ) is equal to ( \sin(72^\circ) \cos(a) - \cos(72^\circ) \sin(a) ).
The expression (\sin^2(x)) (read as "sine squared of x") is equal to ((\sin(x))^2), meaning it represents the square of the sine of the angle (x). This value can vary between 0 and 1, depending on the angle (x). Additionally, it can be expressed using the Pythagorean identity as (\sin^2(x) = 1 - \cos^2(x)).
It is sin(42°)
YES!!!! Sin(2x) = Sin(x+x') Sin(x+x') = SinxCosx' + CosxSinx' I have put a 'dash' on an 'x' only to show its position in the identity. Both x & x' carry the same value. Hence SinxCosx' + CosxSinx' = Sinx Cos x + Sinx'Cosx => 2SinxCosx
The expression (\sin(3\alpha)) can be expanded using the triple angle formula for sine, which is (\sin(3\alpha) = 3\sin(\alpha) - 4\sin^3(\alpha)). This formula allows you to express (\sin(3\alpha)) in terms of (\sin(\alpha)).
The expression ( \sin(72^\circ - a) ) can be rewritten using the sine difference identity: [ \sin(72^\circ - a) = \sin(72^\circ) \cos(a) - \cos(72^\circ) \sin(a). ] Thus, ( \sin(72^\circ - a) ) is equal to ( \sin(72^\circ) \cos(a) - \cos(72^\circ) \sin(a) ).
The expression on your face is not equal to sin 150 as you read this answer.The expression on your face is not equal to sin 150 as you read this answer.The expression on your face is not equal to sin 150 as you read this answer.The expression on your face is not equal to sin 150 as you read this answer.
You cannot. sin(n)/n is an expression, not an equation. An expression cannot be solved.
sin[cos-1(x)] is an expression; it is not an equation (nor inequality). An expression cannot be solved.
The expression ( \cos^2 x - \sin^2 x ) can be simplified using the Pythagorean identity. It is equivalent to ( \cos(2x) ), which is a double angle formula for cosine. Thus, ( \cos^2 x - \sin^2 x = \cos(2x) ).
The identity for tan(theta) is sin(theta)/cos(theta).
The expression ((\sin x + 1)(\sin x - 1)) is equivalent to (\sin^2 x - 1) using the difference of squares formula. This simplifies further to (-\cos^2 x), since (\sin^2 x + \cos^2 x = 1). Thus, the final equivalent expression is (-\cos^2 x).
Sine sum identity: sin (x + y) = (sin x)(cos y) + (cos x)(sin y)Sine difference identity: sin (x - y) = (sin x)(cos y) - (cos x)(sin y)Cosine sum identity: cos (x + y) = (cos x)(cos y) - (sin x)(sin y)Cosine difference identity: cos (x - y) = (cos x)(cos y) + (sin x)(sin y)Tangent sum identity: tan (x + y) = [(tan x) + (tan y)]/[1 - (tan x)(tan y)]Tangent difference identity: tan (x - y) = [(tan x) - (tan y)]/[1 + (tan x)(tan y)]
90+ whatever number is in form of sin.
cos(x) = sin(pi/2 + x)
It is a mathematical expression.
sec x - cos x = (sin x)(tan x) 1/cos x - cos x = Cofunction Identity, sec x = 1/cos x. (1-cos^2 x)/cos x = Subtract the fractions. (sin^2 x)/cos x = Pythagorean Identity, 1-cos^2 x = sin^2 x. sin x (sin x)/(cos x) = Factor out sin x. (sin x)(tan x) = (sin x)(tan x) Cofunction Identity, (sin x)/(cos x) = tan x.