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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.
What else can I help you with?
Which trig expression is equal to sin (72 and Acirc and deg - a)?
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) ).
What is sin2 equal to?
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)).
What is the expression of sine of 42-degrees?
It is sin(42°)
Is sin 2x equals 2 sin x cos x an identity?
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
How does 2sinxcosx equal 1 plus sinx?
The equation (2\sin x \cos x = 1 + \sin x) is not generally true for all values of (x). However, it can be analyzed for specific values or intervals. The left side, (2\sin x \cos x), represents ( \sin(2x) ) using the double angle identity, while the right side is a linear expression in (\sin x). To find specific solutions, one would need to solve the equation (2\sin x \cos x - \sin x - 1 = 0) for particular values of (x).
Which trig expression is equal to sin (72 and Acirc and deg - a)?
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) ).
Where expression is not equivalent to sin 150?
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.
What does sin2a equal?
The expression (\sin^2 a) is equal to ((\sin a)(\sin a)), which represents the square of the sine of angle (a). Additionally, using the Pythagorean identity, (\sin^2 a) can be expressed as (1 - \cos^2 a). This relationship is useful in various trigonometric equations and transformations.
How do you solve sin n divided by n for n?
You cannot. sin(n)/n is an expression, not an equation. An expression cannot be solved.
How to solve sin of cos inverse of x?
sin[cos-1(x)] is an expression; it is not an equation (nor inequality). An expression cannot be solved.
Cossquaredx - sinsquaredx?
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) ).
What is the identity for tan theta?
The identity for tan(theta) is sin(theta)/cos(theta).
What expression is equivalent to (sin x 1)(sin x-1)?
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).
What are the sum and difference identities for the sine cosine and tangent functions?
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)]
How do you write the expression sin 37 in terms of cosine?
90+ whatever number is in form of sin.
What is sin theta minus 2?
It is a mathematical expression.
Cos x sin x identity?
cos(x) = sin(pi/2 + x)
