Simplify the expression tan( – x) by using an appropriate compound angle formula.

Q: Use an appropriate Half-Angle Formula to find the exact value of the expression. tan 12

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Q: the terminal side of angle θ in standard position passes through the point (−24‚11), then the value…

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Q: Use an appropriate Half-Angle Formula to find the exact value of the expression. sin(15°)

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Q: . Express tan t in terms of sin t, if the terminal point determined by t is in Quadrant II

A: It is given that the terminal point determined by t is in the 2nd quadrant of the coordinate system.…

Q: Find the exact value by using a half-angle identity. sin 75°

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Q: In the blank given below, write the value of tan A+ sec A. 13 If sin A

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Q: Use the formula for the cosine of the difference of two angles to verify the identity.

A: To prove: cosx-5π4=-22cosx+sinx

Q: Simplify the expression by using a double-angle formula. 2 tan 4 2 1- tan 4 |sin| ]cos[ |tan |cot|…

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Q: Simplify using either an Addition / Subtraction Formula or a Double Angle Formula, and then evaluate…

A: Solving the problem by finding the value of the expression.

Q: Find the principal values of the following. Express sin5x in terms of multiple angles.

A: Let me discuss this problem::>

Q: Use the appropriate compound angle formula to determine the exact value of each expression. cos (T-)…

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Q: Simplify the expression by using a Double-Angle Formula or a Half-Angle Formula. sin 6° (a) 1 + cos…

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Q: Using the figure shown below, what is sin 20 X

A: Given that:                           NOTE: As per our answering guidelines, we can only answer 1…

Q: tan 0 cot 0

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

Q: Find the value of the angle of tan(cos-(x))

A: tan(cos-1(x)) Let cos-1(x) =  θ         .....................(1)    =>     x = cos θ    =>…

Q: Write the expression as the sine, cosine, or tangent of an angle. tan(7/15) + tan(4z/5) 1 –…

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Q: Write the expression as the sine, cosine, or tangent of an angle. sin 3x cos x - cos 3x sin x

A: Given,          sin3xcosx-cos3xsinxWe know that,        sinA-B=sinAcosB-cosAsinB

Q: Make the indicated trigonometric substitution in the given algebraic expression and simplify. Assume…

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Q: Simplify, using the double-angle formulas: 1- 2 sin2(15°)

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Q: Complete the half-angle identity. sin 스 =

A: To express sin(x/2) in terms of trigonometric ratios of x.

Q: Use the half-angle formulas to simplify the expression. 1- cos(x – 3) 2

A: We know that cos(2t)=cos2t-sin2t=2cos2t-1=1-2sin2t⇒2sin2t=1-cos(2t)⇒sin2t=1-cos2t2

Q: Express tan(t) in terms of sin(t), if the terminal point determined by t is in Quadrant II.

A: We know the trigonometric relation that,            tan(t) = sin(t)cos(t)

Q: Simplify the following expression. * ;) sin (tan-

A: Given: An expression sintan-1x6 Let tan-1x6=y ⇒x6=tan y Therefore, it is required to find out sin x,…

Q: Use an appropriate Half-Angle Formula to find the exact value of the expression. tan(15°)

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Q: Write an algebraic expression that is equivalent to the given expression. sin(arccos(x))

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Q: Given the expression below, what is the value of tan O? * sec20 = x² + 1,

A: Given sec2θ=x2+1. To find tanθ. Solution: We know that, sec2θ-tan2θ=1 So, we have…

Q: Use the Half-angle Formulas to find the exact value of each expression. tan 9π/ 8

A: Given- tan 9π8 To Use-  The Half-angle Formulas to find the exact value of above expression. Formula…

Q: photo attached

A: Given:

Q: If x = 9 tan 0, write the expression sin 20 in terms of just x. (Simplify the double angle using a…

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Q: Simplify sin(x−π/2) to a single trig function using a sum or difference of angles identity.

A: Given expression

Q: Write the first expression in terms of the second if the terminal point determined by t is in the…

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Q: Use an addition or subtraction formula to find the exact value of tan 75° = A+ VB, and fill in the…

A: Values of A and B

Q: 8T tan 3.

A: using properties of tanx

Q: simplify tan(a), if cos(a)= 4/7

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Q: Create an equivalent expression for cos(x – ), using an appropriate compound angle formula

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Q: Use reference angles to find the exact value of the following expression. sin 6

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

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

Q: Write the expression as the sine, cosine, or tangent of an angle. sin(x) cos(8x) + cos(x) sin(8x)

A: Sin (A+B) = Sin A x Cos B + Cos A x Sin B

Q: QIFind the value of the angle of tan(cos-(x))

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Q: Through the simplification of The expression tan(sec-1x) Which of the following triangles will be…

A: We use the Pythagoras Theorem on right angled triangle.

Q: Simplify the expression by using a Double-Angle Formula or a Half-Angle Formula. (a) cos? 38° - sin?…

A: Since you have asked multiple questions in a single request, we would be answering only the first…

Q: Use Definition II to explain why, for any acute angle u, it is impossible for sin u = 2.

A: Given:  sin u=2Since sine function is bounded between…

Q: Simplify and write the trigonometric expression in terms of sine and cosine: tan? x sec?

A: By using some formula of trigonometry

Q: Find the exact value of sin(- ). Explain your answer using reference angle.

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

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Q: What is the equivalent of the given expression in terms of sin

A: we have to tell what is equivalent to the given expression in terms of sinx. tan2θ-cosec2θsec2θ

Q: Evaluate the expression without using a calculator, and write your answer in radians. tan (1) 4

A: Without using calculator find the value of tan inverse 1

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

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