Simplify sin(arccos (G) arctan x) by writing it as a simplified algebraic expression.

Q: Write the trigonometric expression as a simplified algebraic expression. cos(tan-1 x)

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Q: Write sin(2x) cos(8x) as a sum of trigonometric functions.

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Q: Can the sin x ever be a value greater than 1?

A: We have to find the sinx value

Q: Simplify cos(sinæ).

A: We simplify the given

Q: to simplify the expression (sinx+cos x)² are

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Q: Find the exact value of:

A: To find the value of: tan-1(-3) Solution: We know that domain of function tan-1(x) is,-π2<x<π2…

Q: Find sin(arccos(-1/2))

A: The given expression is sincos-1-12.

Q: Write an equivalent algebraic expression that involves x only sin  ( sin  -1  x)

A: the given expression is: sinsin-1x as we know that if we have a function y=f(x) and the inverse of…

Q: Evaluate the expression without using a calculator. T - sin. sin cos cos

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Q: Evaluate the expression below without using a calculator. cos tan + sin-1

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Q: Use a cofunction to write an expression equal to sin

A: Given, sinπ8

Q: Write an equivalent algebraic expression that involves x only  tan   ( sin  -1 1/ x)

A: To write the equivalent algebraic expression in terms of x.

Q: Find the equivalent algebraic expression for the composition below. sin (arccos (x))

A: Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: Simplify the expression: Give the answer in exact form. sin ( arcsin 2 + arctan( – 3)

A: We need to find the value of arctan(x)  and arcsin(x) in radians. Values : arctan( -3 ) =…

Q: Write the expression in terms of sine and cosine, and simplify so that no quotients appear in the…

A: Write csc x= 1/sin x using reciprocal property.

Q: Find a simplified expression for tan( cos-1 ((a)/(6)))

A: Given: y=tancos-1a6 we know that cos-1x=tan-11-x2x                                similarly,…

Q: Use the formulas for lowering powers to rewrite the expression in terms of the first power of…

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Q: Find the exact value of: sin

A: Since,it is known that the value of sin-1 is taken from -π2 to π2.Also,in the first quadrant all the…

Q: Simplify: cos(x+ ) + sin(x – ) 5.

A: The following formulae are used in solving the given expression.

Q: Write cos x in terms of tan x.

A: tanx= sinx/cosx Squaring on both sides We get, tan^2(x)=sin^2(x)/cos^2(x) tan^2(x)=…

Q: Simplify cos(x)tan(x)

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Q: Evaluate the expression without using a calculator. 2 sin tan

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Q: Begin by rewriting the given expression in terms of sine only. Then, simplify. cos?(x)

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Q: write sin( arccos (2/x)) as an expression in terms of x with no trigonometric functions

A: To write the given expression in terms of x.

Q: Write the trigonometric expression as an algebraic expression. sin(arctan 3x – arccos x) -

A: Given Expression, sin[arctan(3x) - arccos(x)] Now assume, arctan(3x)= y  => tan(y) = 3x and…

Q: Write the expression in terms of sine only. -V3 sin(x) + cos(x)

A: The solution is given below:

Q: What is the period of y =A sin Bx?

A: The given function is y=A sin Bx. It is known that the period of sine function y=sinx is 2π.

Q: Write an equivalent algebraic expression that involves x only  cosec   ( sin  -1 1/ x)

A: Given: The expression cosecsin-11x, To find: The algebraic expression equivalent to given expression…

Q: Write the trigonometric expression as a simplified algebraic expression. cos [sin-1(2x) - tan (1)]

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Q: Write sin x in terms of cos x.

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Q: Find / |sin Z| ?

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Q: Simplify to an expression involving a single trigonometric function with no fractions. cos( – x) - +…

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Q: Write sin(2x) cos(7x) as a sum of trigonometric functions.

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Q: Write cos* x as an expression in the first power of cosine

A: Given,                    cos4x=?

Q: sin

A: Write the expression in terms of sin(π+x).

Q: Simplify the expression.   Sin(tan-1x)

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Q: fo= tan(sin 3x) (x)

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Q: Evaluate the expression below without using a calculator. sin(2cos-()) =|

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Q: sin(cos" x)

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Q: If x = 9 tano, use trigonometric substitution to write 81 + x 2 as a trigonometric function of 0.…

A: We can obtain trigonometric function for an algebraic expression by applying trigonometric function…

Q: Find the values in

A: To find the value of the given equation.

Q: Use basic identities to simplify sin r + cos2 a sin a.

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Q: Use a sketch to find the exact value of the expression.

A: Given expression: tancos-1-13 Consider the value of cos-1-13=y. Therefore, the given expression…

Q: Use a sketch to find the exact value of:

A: Given:tansin-1513

Q: Simplify the expression.   tan(Sin-1x)

A: Let the given value be y - y = tansin-1x          ........(1)Converting sin inverse to tan inverse…

Q: Write the trigonometric expression as an algebraic expression. sin(arctan 3x – arccos x)

A: sinarctan 3x-arccos x arctan 3x=α,  cos x=β tanα= 3x,  cos β=x Assume, 0≤x≤1 So, 0≤α,    β≤π2…

Trigonometric Identities

Trigonometry in mathematics deals with the right-angled triangle’s angles and sides. By trigonometric identities, we mean the identities we use whenever we need to express the various trigonometric functions in terms of an equation.

Inverse Trigonometric Functions

Inverse trigonometric functions are the inverse of normal trigonometric functions. Alternatively denoted as cyclometric or arcus functions, these inverse trigonometric functions exist to counter the basic trigonometric functions, such as sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), and cosecant (cosec). When trigonometric ratios are calculated, the angular values can be calculated with the help of the inverse trigonometric functions.