Is Sinx COSX 1 true?

Because sin(2x)≤1 for all x∈R (for all real-valued x ) that means that cos(x)sin(x)≤12 for all real x .

What is the value of Sinx COSX?

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

How do you differentiate Sinx COSX?

Answer: The derivative of sin x cos x is cos2x – sin2x, that is, cos 2x.

What is COSX equal to?

Remember the Pythagorean triple 8, 15, 17? The reference triangle has horizontal leg 8, vertical leg 15, hypotenuse 17…so cos x = 8/17. Another way to do this is to recall that 1 + tan2x = sec2x & secant is reciprocal of cosine.

What is cos 2 equal to?

Cos2x is one of the double angle trigonometric identities as the angle in consideration is a multiple of 2, that is, the double of x. Let us write the cos2x identity in different forms: cos2x = cos2x – sin2x. cos2x = 2cos2x – 1.

What is the formula of 1 COSX?

Answer: The formula of (1 – cos x) / sin x = tan (x/2)

What is sinx divided by COSX?

Each of these functions are derived in some way from sine and cosine. The tangent of x is defined to be its sine divided by its cosine: tan x = sin x cos x . The cotangent of x is defined to be the cosine of x divided by the sine of x: cot x = cos x sin x .

What is the minimum value of COSX sinx?

-1
The minimum value of sinx is -1 and the minimum value of y is -√2.

Why differentiation of Sinx is COSX?

So the derivative can be viewed as the slope of the tangent line. So for example at this point right over here, it looks like the slope of our tangent line should be zero. So our derivative function should be zero at that x value. And it is indeed the case that the derivative of sine of x is equal to cosine of x.

What is Sinx Siny?

sinxsiny = 1. 2. [cos(x – y) – cos(x + y)]

What is sin2x + cos2x = 1?

You will be squaring a quantity that contains both sinx and cosx, so you will need the identity sin2x +cos2x = 1. I would start by multiplying both of these out. They’re equal.

What is the value of coscosx cosy?

cosx cosy= 2sin. x+y 2. sin. x y 2. The Law of Sines sinA a = sinB b = sinC c Suppose you are given two sides, a;band the angle Aopposite the side A. The height of the triangle is h= bsinA.

What is the formula to find the value of secx?

cscX = 1 / sinX sinX = 1 / cscX secX = 1 / cosX cosX = 1 / secX

How do you find Cos and Tanan in trigonometry?

tan X = b / a , cot X = a / b. cos X = a / r , sec X = r / a. Special Triangles Special triangles may be used to find trigonometric functions of special angles: 30, 45 and 60 degress. Sine and Cosine Laws in Triangles In any triangle we have: 1 – The sine law.