How do you write Sinx COSX?

Answer : The expression for sin x + cos x in terms of sine is sin x + sin (π / 2 – x).

What is Sinx * COSX equal to?

The tangent of x is defined to be its sine divided by its cosine: tan x = sin x cos x .

How do you use the product-to-sum formulas?

Expressing the Product of Sine and Cosine as a Sum Write the formula for the product of sine and cosine. Then substitute the given values into the formula and simplify. Use the product-to-sum formula to write the product as a sum: sin(x+y)cos(x−y).

What is greatest value of Sinx COSX?

Hence, the greatest and least values are 1/2 and -1/2 respectively.

How do you express as a sum?

A series can be represented in a compact form, called summation or sigma notation. The Greek capital letter, ∑ , is used to represent the sum. The series 4+8+12+16+20+24 can be expressed as 6∑n=14n . The expression is read as the sum of 4n as n goes from 1 to 6 .

What is the formula for SiNx + cosx?

sinx + cosx = Rsinxcosα + Rcosxsinα = (Rcosα)sinx + (Rsinα)cosx The coefficients of sinx and of cosx must be equal so

What is the product rule for SiNx?

The product rule can be used to differentiate any function of the form f (x) = g(x)h(x). It states that f ‘(x) = g'(x)h(x) +g(x)h'(x). The derivative of sinx is cosx and the derivative of cosx is −sinx.

What is the derivative of sin x cos x?

What is the derivative of sin x cos x? The product rule can be used to differentiate any function of the form f (x) = g(x)h(x). It states that f ‘(x) = g'(x)h(x) +g(x)h'(x). The derivative of sinx is cosx and the derivative of cosx is −sinx.

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.