What is sin x cos x equal to?

Answer : The expression for sin x + cos x in terms of sine is sin x + sin (π / 2 – x). Let us see the detailed solution now.

What is the greatest value of sin x cos x?

Hence the maximum value of sinx-cosx is $\sqrt{2}$.

For what values of x is sin x cos x?

sin x > cos x on the interval 0 x < 2 . From the unit circle we see that sin x and cos x can only have the same value in two places, in x = /4 and x = 5 /4 (45° and 225°). The equation sin x = cos x can also be solved by dividing through by cos x.

What is the exact value of sin x?

The function f(x) = sin x has all real numbers in its domain, but its range is −1 ≤ sin x ≤ 1. The values of the sine function are different, depending on whether the angle is in degrees or radians. The function is periodic with periodicity 360 degrees or 2π radians.

What is the formula of Cos X?

FAQs on Cosine Formulas cos x = (adjacent side) / (hypotenuse) cos x = 1 / (sec x) cos x = ± √(1 – sin2x) cos x = sin (π/2 – x)

What is the formula of 2sinxcosx?

We know that sin2x=2sinxcosx.

What is the minimum value of sin a Class 10?

Properties Of The Sine Graph Maximum value of sin θ is 1 when θ = 90 ˚. Minimum value of sin θ is –1 when θ = 270 ˚.

What is minimum value of sin x?

−1
The minimum value of sinx is −1. At x = 270°, sinx = −1.

What are the greatest and least value of sin x cos x?

Maximum value is 1/2 and minimum value is -1/2.

What is the general equation for sin10 X + cos10x?

Find the general solution of the equation sin^10 x + cos^10x = 29/16 cos^42x. Find the general solution of the equation sin10 x + cos10x = 29/16 cos4 2x.

How to convert sin(x) to tan(x)?

Convert from sin(x) cos(x) sin ( x) cos ( x) to tan(x) tan ( x). Cancel the common factor of cos(x) cos ( x). Tap for more steps… Cancel the common factor. Divide 1 1 by 1 1. Take the inverse tangent of both sides of the equation to extract x x from inside the tangent.

What is the period of the tan(x) function?

The period of the tan(x) tan ( x) function is π π so values will repeat every π π radians in both directions. Consolidate the answers.