Write cos x in terms of tan x.

Q: 51. Write csc x in terms of cos x.

A: sin2x +cos2x =1 ⇒  sin(x )=±1-cos2(x). csc(x) =1sin(x)

Q: . Find the exact value of tan cos

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

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Q: Simplify the expressions below. (a) tan(cos-1 x) (b) sin(tan1 x)

A: Refer to the question.Let a = cos^(-1) x.  That is from the properties of inverse trigonometric,

Q: Simplify (sinθ + cosθtanθ)/(cosθ)

A: Our Aim is to simplify the trigonometric function given below:-sin θ+cos θtan θcos θ-(i)

Q: sin(A) tan(A)+ cos(A) = COS

A: Given- sinAtanA+cosA To Simplify- The above trigonometric expression. Identity Used- sin2A+cos2A=1.…

Q: Evaluate and simplify. cos (9 sec x) dx

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Q: Establish the identity. cos Ꮎ - sec Ꮎ = sin Ꮎ tan Ꮎ

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Q: Enter a simplified algebraic expression for the expression. X, cos tan %3D

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Q: Rewrite the expression as an algebraic expression in x. cos(sin−1(x))

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Q: tan(a) cos(x)= | |help (formulas)

A: Simplifying the equation

Q: Express y in terms of x if the inverse sine of x is equal to the inverse tan of y.

A: Given sin-1x=tan-1y.  Assume θ=sin-1x so sinθ=x. Therefore using identity sin2θ+cos2θ=1:…

Q: Multiply. (cos(θ) + sin(θ))2

A:

Q: Verify the identity.

A: Given: verify the identity tanx21+cosx=sinx for verifying given identity, we solve left hand side

Q: Verify that the equation is an identity. 1- tan 'x = sec x 2. 1- tan x

A: WE HAVE TO VERIFY THE EQUATION 1-tan4x1-tan2x=sec2x is an identity. LHS=1-tan4x1-tan2x Now,…

Q: Find the algebraic expression that is equal to sec theta- cos (-theta)

A: We know thatcos(-θ)=cosθ

Q: Use a sketch to find the exact value of the expression tan [cos-1 (- 1/3)]

A: Sketch the graph of y=tancos-1x as follows:

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: Verify that the equation is an identity. sin 2x = 2 sin x cos x

A: Trigonometric relations.

Q: Rewrite cos x + in terms of sin(æ) and cos(a) 3 -

A: Given expression is: cosx+π3

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

A: Evaluate tancos-1x       ...(1)

Q: Simplify: cos(x+ ) + sin(x – ) 5.

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

Q: Find a simplified expression for cos(tan^-1(r/3))

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Q: Simplify cos(x)tan(x)

A:

Q: Simplify cos(tan^-1(x/2

A: Consider tan-1x2 as θ, and write tan θ as tan θ=OppositeAdjacent. To find the hypotenuse of the…

Q: snip

A: To find: The exact value of tancos-1-13. Formula used: Inverse trigonometry formula: tancos-1x=1-x2x

Q: Find a simplified expression for tan( cos

A:

Q: Use the fundamental identities to fully simplify the expression. sin(x) cos(x) sec(x)

A: Given:

Q: Write csc θ tan θ in terms of sin θ and cos θ

A: cosec θ  tan θ interms of sinθ:                                   cosec θ = 1sin…

Q: Find the exact value of the expression. 1 tan sin cos

A:

Q: Find the exact value of tan(u + v),

A: find value of sin u , sin v, cos u and cos v

Q: Simplify the expression. cos(2 tan-1(x))

A: For the solution follow the next step.

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

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Q: evaluate exactly sin(cos-1(2/3))

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Q: Evaluate the exact value of x²-16 tan cos

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Q: Simplify the expression. cos(2 tan(x))

A: Use the cos double angle formula and then proceed, solve the problem as shown below.

Q: Evaluate csc(cos^-1(sin(tan^-1(a/b)))where ab is a positive real number.

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Q: If 0 < x ≤1, write cos(sin-1 x) as an algebraic expression in x.

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Q: Write sin(5x) cos(8x) as a sum of trigonometric functions.

A: Given that, sin 5x cos 8x We know that, sin(a+b)=sin a cosb+cos a sinbsin(a-b)=sin a cos b-cos a sin…

Q: Verify that the equation is an identity. 2 tan 1+ cos x

A: we know thatcosx=2cos2x2-1consider…

Q: Evaluate sin'0 cos de Ꮎ

A:

Q: Simplify the expression :  sec x cos x + cos x − 1/sec x  using basic identities

A: The basic identity is:cosx=1secx or secx=1cosx

Q: write cos x in terms of tan x  1 + tan2 x = sec2 x

A: We write cos x in terms of tan x    1 + tan2 x = sec2 x

Q: Find a simplified expression for tan ( cos ())

A:

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

A:

Q: simplify sin(2x)/cos(x)

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Q: Rewrite cos (a + ) in terms of sin(x) and cos(x).

A:

Q: Evaluate without using a calculator.       cos ( tan  -1 1/3)

A: Given : = cos ( tan  -1 1/3)   Put tan-1 1/3 = θ         tan θ = 1/3 = cos θ  = 1/√1 + tan2 θ = 1/√1…

Fundamentals of Trigonometric Identities

Trigonometric Identities are the equalities that involve trigonometry functions and hold for all the values of variables given in the equation.