What is the sin of arcsec?

Therefore, sin(arcsec(u)) sin ( arcsec ( u ) ) is √u2−12u u 2 – 1 2 u . Since both terms are perfect squares, factor using the difference of squares formula, a2−b2=(a+b)(a−b) a 2 – b 2 = ( a + b ) ( a – b ) where a=u and b=1 .

What is rewriting in algebra?

Rewriting algebraic expressions using structure is synonymous to rearranging one expression to plug it into another expression. After doing some simplification, you end up with the final expression.

What is the value of sec inverse 2?

Since sec−1(2)=x , sec(x)=2 . As secant is the reciprocal of the cosine function, i.e. sec(x)=1cos(x) , the following must be true as well. Or cos(x)=12 . The range of sec−1(x) is [0,π2)∪(π2,π] .

How do you find sec and cot?

The cotangent of x is defined to be the cosine of x divided by the sine of x: cot x = cos x sin x . The secant of x is 1 divided by the cosine of x: sec x = 1 cos x , and the cosecant of x is defined to be 1 divided by the sine of x: csc x = 1 sin x . = tan 5π 4 .

How do you find the exact value of sec arctan 2?

Draw a triangle in the plane with vertices (1,2) , (1,0) , and the origin. Then arctan(2) is the angle between the positive x-axis and the ray beginning at the origin and passing through (1,2) . Therefore, sec(arctan(2)) sec ( arctan ( 2 ) ) is √12+221 1 2 + 2 2 1 .

How do you convert sin to CSC?

The secant of x is 1 divided by the cosine of x: sec x = 1 cos x , and the cosecant of x is defined to be 1 divided by the sine of x: csc x = 1 sin x .

What is the value of SEC inverse 2?

How do you write sin(2 arcsin(x)) as an expression?

sin (arccos (-1/2)) = √ (1 – (- 1/2) 2) = √3/2 (we have used sin (arccos (x)) = √ (1 – x 2 )) Substitute and calculate. Write Y = sin (2 arcsin (x)) as an algebraic expression. Let A = arcsin (x). Hence Y may be written as

How do you calculate sin(arccos (-1/2))?

Use the indentity sin (A + B) = sin (A)cos (B) + cos (A)sin (B) to expand the given expression. Use the above indentities to simplify each term in the above expression. sin (arccos (-1/2)) = √ (1 – (- 1/2) 2) = √3/2 (we have used sin (arccos (x)) = √ (1 – x 2 )) Substitute and calculate.

How to find the exact value of Sin(A + B)?

Find the exact value of sin (A + B). Use the indentity sin (A + B) = sin (A)cos (B) + cos (A)sin (B) to expand the given expression. Use the above indentities to simplify each term in the above expression.

What is an algebraic expression?

What is an Algebraic Expression? An algebraic expression is an expression which consists of variables, coefficients, constants, and mathematical operators such as addition, subtraction, multiplication and division. Generally, if two things are the same, then it is called equivalent.