Let P(t) = (x,y) be the terminal point on the unit circle that corresponds to the real number t. Find the value of tan t. P = (-(\sqrt(3))/(2),-(1)/(2)) tan t = ___ (Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression.)

Q: 1 - sin (t) sin (t) Simplify to an expression involving a single trig function with no fractions.

A: Let's find single trig function with no fractions.

Q: Find the real zeros of the trigonometric function on the interval 0≤0<2n. f(x) = -3 sin (2x) + 3 sin…

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Q: Find the root of 1+ tanh x - 2 tan x = 0.

A: We find the root of  1+tanh(x)-2tan(x)=0 , by Newton's method.

Q: - sin ( 7 ) 2 What is the exact value of

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Q: Estimate the error if P 3(x) = x - (x^3/6) is used to estimate the value of sin x at x = 0.1.

A: Given:

Q: 2. What is the exact value of tan (-75°)? O 2-V3 O-2+ V3 O 2+ v3 O-2-V3

A: To find :  The exact value of tan(-75°). Note: To find the exact value apply the reference angle by…

Q: 40 Using the reduction formula, we have! sin"xdx = %3D

A: Given : ∫sin40xdx

Q: Write an algebraic formula for sin[(sin^-1(u)-cos^-1 (v)]

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Q: 4-x2 dx. b) Use the trigonometric substitution x=2 sine to evaluate

A: Solving the problem by doing the substitution.

Q: 5. gl1) = Cot3x ら。 -- HQ) = I+ Sin x 1- Sin X

A:

Q: Write the expression as an algebraic expressionin x for x>0.   b.  tan (2 cos-1(3/x))

A: Given expression can be represents as: tan2cos-13x  for x&gt;0. Let us suppose θ=cos-13x  then the…

Q: b) lim, . sin(8z)

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Q: Determine a root the equation sin X+3 OF COS x-2 = 0. Correct to four decimal places.

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Q: sin 0 If 1+cos 0 x2 x2, then tan 2 - a) b) 4 c) x2 + 1 d) x2 |3| 2.

A: Given,  sin θ1+cos θ=x2 To determine tanθ2

Q: Let sin(A)= -12/13 with A in QIII. Find sin (2A) sin(2A)=________

A: Let  where A lies in third quadrant. Now, we will use the following identity to evaluate cosA.…

Q: Find the real zeros of each trigonometric function on the interval 0 ≤ θ&lt;2 π. f(x)= cos(2x)- cos…

A: To find the real zeros of the function

Q: a. sin x = x – 1, а. (1,2) - b. In x = tan-1x, (3,4)

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Q: 16 Using trigonometric substitutions, SS- dx is equa xV16-x2

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Q: -<x<0. Given that tan 2r =-2, solve for tan x. 4 Let -

A: Given: tan2x=-2 We know that tan2x= 2tanx1-tan2x Therefore, 2tanx1-tan2x = -2

Q: 2. By hand, showing all steps, determine sin 4x sin 5x lim x sin 3x

A:

Q: Find the real zeros of each trigonometric function on the interval 0 ≤ θ&lt;2 π. f(x)= cos(2x)+sin2…

A: f(x)=cos(2x)+sin2(x) for finding the zeros we put f(x)=0 sin2(x)+cos(2x)=0we know cos2x =…

Q: Use an identity to solve the equation tan x - sec x = 1 on the interval [0, 2π).

A: The given equation is tanx-secx=1.

Q: 10. Find the positive root of sin x-x = 0. %3D

A: To find all the positive roots of the below equation using the fixed-point iteration method.…

Q: If f(x) = 8 tan- x, then find the value of f'(3) is

A: Given : fx = 8tan-1x

Q: what is the general solution for -1=2tan(x) + tan2(x)

A: Simple calculation of trigonometric ratio

Q: 2 sin 50 do. 9. Use the residues' theorem to evaluate sin o

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Q: simplifying sin t over tan t

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Q: 3元 What is the exact value of sin ? Show your work. 2

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Q: If f(x) = 5 tan-1 x, then find the value of f'(3) is 3

A: As we know,                            ddxtan-1x = 11+x2

Q: Let x= 2 tan theta, 0 less than or equal to theta < pi/2  simplify the expression  1/x^2…

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Q: Determine the domain and the range of the function f(x) = sin-1 x + cos-1 x

A: To determine domain and range of the given function.

Q: 1//2 2.x sin- (2?) dar

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Q: What is the period of f(x) = sin(3Ħx – 4) + 2? %3D

A: For a given function: Time period (T) =        2(PI)     _        w(omega) Whereas addition of DC…

Q: B- find the value of x x = tan(sin-1) 2

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Q: (a) Prove that the equation has at least one real root.(b) Use your calculator to find an interval…

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Q: find maclurin formula in the fourth degree for f(x)=tanx

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Q: cosh(2æ) – 1 Verify the identity sinh? (x) using the definitions of the hyperbolic functions.

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Q: The root of sin x - (1 /3) x = 0 close to x = 2.2. %3D

A: We have to find the root of sinx-13x=0 close to x = 2.2.

Q: Identify the trigonometric function from the graph. 2 a) f(x) = 2sinx b)f(x) = 2+ sinx c) f(x) = 2+…

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Q: if tan(x)=A, sin(x)=B, cos(x)=C, then a.sin( -x) _______ b.tan(-x ) _______ c.sec(-x ) _______…

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Q: lim, 0 6 tan² (5x) 15x²

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Q: 2 Convert r = to rectangular form. 7 sin 0-cos 0 Enter your answer in slope-intercept form by…

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Q: lim,-o-cos(2.x) →0°sin²(3x) Q6- Evaluate:

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Q: If f(z) = 2 tan-(5 sin(2x)), f'(x) = Preview TIP Enter your answer as an expression. Example:…

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Q: Evaluate and show your work a. sin (π - x) + cos (3π/2 - x) b. sec3π/4csc5π/4 + tan4π/3cot11π/6…

A: To Evaluate: a. sin (π - x) + cos (3π/2 - x) b. sec3π/4csc5π/4 + tan4π/3cot11π/6 c. Tan-1(-√3)

Q: If f(x) = 7 tan-x, then find the value of f'(2) is

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Q: Find a formula for the graph in terms of f (x) = sin x or g (x) = cos x. y 4 -1 Enter your answer in…

A: the given graph is: we have to give the formula of the graph in terms of sinx or cosx.

Q: Using De Moivre's formula demonstrate that sin(3x) = 3sinx − 4sin3x

A: Given that sin3x=3sinx-4sin^3x De moivres formula is (cos x+ i * sin x) ^ n = cos n*x+ i * sin n*x -…

Q: V3 If tan A = find tan 2A. 3

A: Given,          tanA=-33We know that,         tan2θ=2tanθ1-tan2θ

Q: Find two angles in the interval [0, 360°) such that sin(x) = -0.61566 %3D

A: