Find the exact value of the following: sin (arctan ) 60

Q: The figure shows an angle 0 in standard position with its terminal side intersecting the unit circle...

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Q: Solve the equation for x if 0 ≤ x < 2?. Use a calculator to approximate all answers to the nearest ...

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Q: .z? + (3 – 2i)z + (2 + i) = 0

A: Solve quadratic relation. 

Q: Express the following trignometric ratio as the trignometric ratio of an acute angle sin 312o.

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Q: 12) sin? 0 +2 - cos? 0 = 3sin 0

A: (12) Given: - The equation is, sin2θ+2-cos2θ=3sinθ To solve: - The solution of the given equation.

Q: Find the angular speed o for the following. a wind turbine with blades turning at a rate of 10 revol...

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Q: csce cos e 5. csce-tan e cos e-sin? e

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Q: 9. Use the triangle on the right to find the given trigonometric ratios. (Express your answers in th...

A: I have to solve only D, E and F subpart.

Q: Find the measure (in radians) of the central angle. The area of a sector is 8 sq units.

A: Given,            The area of a sector is 8 sq units.           To find : Find the measure in radia...

Q: 1- cos 4x 9. sec² 2x –1 : 1+ cos 4x

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Q: find cos (a-b) sin A= -1/2 sin b = 1/4 with sin A in quadrant IV and B in II

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Q: Which of the following statements is NOT true? Please Help   The vertices of an ellipse are closer ...

A: From given statements

Q: Solve the right triangle ABC, with C= 90°. B = 70.6°, b = 123 in. A = ° (Simplify your answer. Type ...

A: triangle sides and angles

Q: convert to polar equation X^2 +(y-3)^2 =16

A: Put x=rcosθ and y=rsinθ

Q: DE MOIVRE'S THEOREM Copy the problems and show your full solutions on your answer sheet. Evaluate th...

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Q: 4) Find Vertical and Horizontal asymptote Show work y3D- x+4 Vertical Asymptote Horizontal Asymptote

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Q: 10. Find the cosecant, secant, and cotangent of 60°. 60 2. 1 30°

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Q: complete identity cosx + sin x/ cos x - sinx - cosx/sinx = ?

A: simplyfy

Q: AB= 15, AC=X+5, FIND X, AC AD= 25, BC= 20, FIND THE AREA OF KITE B

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Q: (a) (i) Find the domain and range of the function y cos X-1 2. (ii) Sketch the graph of the function...

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Q: A tower is put on level ground such that it is perpendicular to it. Two 13. guy wires brace the towe...

A: As we know from the Pythagorean theorem; Hypotenuse2=Perpendicular2+Base2 And The trigonometric rati...

Q: Write the following numbers in the polar form re", 0 < 0 < 2r: 1 (a) 3 , 0 = (b) 9 + 9i (c) 3 – 3i =

A: Complex number(a+bi) into polar form  reiθ,   For polar form,     a=r cosθ, b=r sinθ    ⇒r=a2+b2 and...

Q: A ship leaves its port and sails on a bearing of N33°10'E, at speed 22.3 mph. Another ship leaves th...

A: Given query is to find the distance between the ships after 2 hour.

Q: III. Activity A. Without using your calculator, determine the special acute angle measure. 6. a = si...

A: This question is related to Trigonometric angles, we will solve it using given information. 

Q: A fuel-tanker's tank is 50 feet long and has a diameter of 7 feet. Determine the surface area of the...

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Q: 132. Let f(0) = tan (0). What is the input quantity for f (the arctangent function)? The output quan...

A: As per the company guidelines we can solve first question. I hope that the given solution will help ...

Q: To find the distance across a small lake, a surveyor has taken the measurements shown. Find the dist...

A: consider the figure given below :

Q: Complete so the result is an identity. Let X be any real number. _-Itan? x A.) Cot? X B.) Sin2X C.) ...

A: By trigonometric identity1+tan2x=sec2x⇒sec2x-tan2x=1

Q: Find the length of the missing leg in the triangle in the nearest tenth

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Q: Use an Addition or Subtraction Formula to write the expression as a trigonometric function of one nu...

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Q: This problem refers to triangle ABC. If a = 14 yd, b = 15 yd, and c = 16 yd, find the largest angle...

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Q: Solve 8 tan x sin x-8 tan x =0 in the interval [0,2x).

A: Here we have to find the value of x such that it satisfies the given equation. 

Q: Determine the period of the following trigonometric function. 2Tx 1 sin( 4 - 3

A: Given:      y=14 sin2π x3

Q: Write an expression that gives all solutions to the equation. cos x – sin x = = V2

A: cosx-sinx=2

Q: Use an Addition or Subtraction Formula to write the expression as a trigonometric function of one nu...

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Q: Write the complex number in trigonometric form r(cos 0 + i sin 0), with 0 in the interval [0°,360°)....

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Q: On a circle of radius 9 feet, what angle would subtend an arc of length 7 feet? degrees

A: Arc length(l)=θ360°×2πr

Q: Solve ∆ABC. B = 20º, a = 120, c = 100

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Q: x dx V4 – x4 A sin sin-1 x2 + C x2 sin-1 + C В 1 x2 sin-1 2 1 + c + C sin-1 O A Ов O D O E None of t...

A: Given: I=∫xdx4-x4   ...1   We know that; ∫11-x2dx=sin-1x+C

Q: Make the indicated trigonometric substitution in the given algebraic expression and simplify (see Ex...

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Q: Solve the following equation for all radian solutions and if 0 ≤ x < 2?. Give all answers as exact ...

A: Sine function is negative in third and fourth Quadrant . If ax2+bx+c=0 then x =-b±b2-4ac2a .

Q: Cos 2x

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Q: In right triangle ABC, sin B = 2x - 0.72 and cos C = 3x - 0.98. Solve for a %3D A – 0.26 B0.26 CO.36...

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Q: Two points Pand Q on level ground are on opposite sides of a building. To find the distance between ...

A: Find your answer below 

Q: A ship is anchored off a long straight shoreline that runs north and south. From two observation poi...

A: We have to find the distance from the ship to each of the observation points.

Q: Find the angle which the vector A(2, 4, -5) makes with the coordinate axes. Given the vectors: B (2,...

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Q: Find the equation for the linear function that passes through the pointy(-4,-9) and (8,6)

A: We can find the equation of linear function as below.

Q: c. cos x for 0 <x S T 2 COS X = --

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Q: Evaluate the expression under the given conditions. tan(2?); cos(?) = 3/5, ? in Quadrant I   2. Eva...

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Q: 1) The three vertices of a triangle located at A(6,-1,2), B( 2,3,-4) and C(-3,1,5). Find the Interio...

A: As per Bartleby guidelines rule I am answering only 1st question as both question is different.