Simplify the following, showing steps: csc(θ-4π)cscθ+tan(-θ)cot(θ+4π)

Q: Simplify the trigonometric expression below by writing the simplified form in terms of cos x. tan…

A: Topic- Trigonometry

Q: Find the exact values below. If applicable, click on "Undefined". 3n 믐 미 Undefined tan ? 3n csc

A: We know that tan(θ)=sin(θ)cos(θ) thentan3π4=sin3π4cos3π4=22-22=-1∴ tan(3π4)=-1

Q: Write the following in terms of sin(θ) and cos(θ); then simplify if possible. sin(θ) + cos(θ)tan(θ)…

A: We will use tan(θ) = sin(θ)/cos(θ)

Q: practice question, I attached a photo

A: Consider the given expression.

Q: Given tanθ = - 2, 270° < θ < 360°, find the exact value of the remaining five trigonometric…

A: Given tanθ = - 2, 270° < θ < 360°, We know that  tanθ=PerpendicularBase Since the tanθ is in…

Q: . Use the diagram to find the requested values. a. sin a 13 b. tan 0 c. sin(20)

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Q: Cos 90

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Q: Find the exact value of the expression tan−1 (−√3/3 ) , if possible.

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Q: In the right triangle below, find the exact value of sin(A), cos(A), tan(A), and sin(B), cos(B),…

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Q: Write the following in terms of sin ? and cos ?; then simplify if possible. (Leave your answer in…

A: Consider the given trigonometric function. csc θ cot θ The objective of this part is to write the…

Q: Use a calculator to find the approximate value of each expression rounded to two decimal places.…

A: To use a calculator to approximate the value of expression rounded to two decimal points: tan-1(0.2)…

Q: tan 0 cot 0

A: (I)  tanθcotθ=sinθcosθcosθsinθ    (Reason : tanθ=sinθcosθ, cotθ=cosθsinθ)         =sin2θcos2θ…

Q: simplify the following function and choose the right answer/answers sin20 y cos20 sino cos0

A: The given function is y=sin2θsinθ-cos2θcosθ.

Q: sec 0 Csc e

A:

Q: Write the following in terms of sin θ and cos θ; then simplify if possible. (Leave your answer in…

A: To write “csc θ cot θ” in terms of sin θ and cos θ and simplify.Consider,csc θ cot θ

Q: For 0° < 0 < 360°, find the angles that satisfy the equation sin(0) = -0.95106 and tan(0) = 3.0777…

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Q: Evaluate the expression without using a calculator. sin " + cos 4 4

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Q: Rewrite the expression, (tan x + cot x)/csc x; cos x in terms of the given function or functions.

A: Rewrite the expression tanx+cotxcscx in term of cosx. So given expression tanx+cotxcscx

Q: Complete the steps by applying trig identities to show that the left hand side of the equation is…

A: The given trigonometric equation is: tanx (csc2x−1)=cotx To prove the left side of this equation is…

Q: Simplify the following expression by writing it as a term with only one trigonometric function. 2.…

A: We need to have the idea of the following trigonometric formula: 1/(sec²(x)) = cos²(x)…

Q: Simplify the trigonometric expression. 1 + tan A sec A

A: The trigonometric expression is simplified as below,

Q: Simplify the expression by first substituting values from the table of exact values and then…

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Q: Complete the steps by applying trig identities to show that the left hand side of the equation is…

A: Simple trigonometry problem.....

Q: Find the exact values of the following and simplify. Indicate if an expression is undefined. Do not…

A: Solve the expression as follows.

Q: Simplify the trigonometric expression. 1+ sin y csc y + 1

A: Given,           1 + sin ycsc y + 1

Q: Write the following in terms of sin θ and cos θ and then simplify if possible. Show your work ​Sec…

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Q: Find the exact value.tan 285°

A: tan 285

Q: In the following right triangle, find sin A, cos A, tan A, and sin B, cos B, tan B.

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Q: Complete the steps by applying trig identities to show that the left hand side of the equation is…

A: Consider the given trigonometric expression sinx+tanx1+secx

Q: simplify the following function and choose * the right answer/answers sin20 cos20 y = sino cos0

A: Simplify the trigonometric equation by substituting the correct trigonometric formulas to reduce it…

Q: Write the trigonometric expression in terms of sine and cosine, and then simplify. 8 cos(t) tan(t)

A: To simplify the given trigonometric expression use the following equation. To find the terminal…

Q: Sinlsir 5,

A: To evaluate the given trigonometric expression.

Q: Write the following values. a. sin b. cos 2 图 c. tan =

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Q: Write the following in terms of sin e and cos e; then simplify if possible. (Leave your answer in…

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

A: For the solution follow the next step.

Q: Simplify the following expression.   (sinθ / cscθ)- secθcosθ

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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: Simplify the expression cos (tan-1  x)

A: Given expression:                            costan-1x

Q: Simplify the following showing steps:   Cos4(theta)-Sin4(theta)

A: Given,

Q: sin e, cos e 34) cos e sin e

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Q: Write the following in terms of sin 0 and cos e; then simplify if possible. (Leave your answer in…

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Q: Write the following in terms of sin θ and cos θ; then simplify if possible: csc θ cot θ

A: Given : csc (θ) cot(θ) We know the trigonometric ratios csc(θ)=1sin(θ)cot(θ)=cos(θ)sin(θ)

Q: sin(cos" x)

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Q: In the following diagram, angle 0 is in standard position. In each case, find sin 0, cos 0, and tan…

A: First we take a point on the terminal side (-6,5) and draw a right triangle from it with axis.

Q: Write the following in terms of sin x and cos x; then simplify if possible. csc x cot x =

A: Here we write csc x cot x in terms of sin x and cos x .

Q: Simplify the expression tan ⁡x+cot ⁡x/cot⁡ x.

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Q: b, 2sin [ csc ()] , Co: [sin () + tan' ()]

A: topic - trigonometric functions

Q: Write the following in terms of sin theta and cos theta; then simplify if possible. (Leave your…

A: I am going to solve the given problem by using some simple trigonometry results to get the required…

Q: Simplify the following expression. sin (30° - x)

A: It can be solved using the formula sin(A - B) = sin A cos B - cos A sin B sin 30° = 12 and cos 30° =…

Q: Make the indicated trigonometric substitution in the given algebraic expression and simplify x = 2…

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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.