The figure at the right shows an angle 0 in standard position with its terminal side intersecting the unit circle at 21 20 PL- 29 29. Evaluate the circular functions at 6. |(1,6) L sin 0 =O (Type an integer or a simplified fraction.)

Q: Categorize the trigonometric functions as positive or negative. 41x tan g 17x COS 10 47x tan 36 13x…

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Q: 30. cos (a – B); sinɑ 2 for a in Quadrant II and cosß = 3 - for ß in Quadrant III.

A: Since you have asked multiple questions in single request,  So we will be answering only first…

Q: /3 Cos O *, where T <0S. tan 3 = 3, where 0 < B<5. 4' What is the exact value of sin (0 + B)? Enter…

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Q: 41. A 16-foot-long trough for feeding cattle is shown above. If x = 1.5 feet, which of the fóllowing…

A: Step:-1 Given that  a 16 ft long trough and x= 1.5 feet Note:- In this figure, if we take ABC as…

Q: 3 where 0<xS 5' sin x

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Q: the terminal point P(x,y) determined by a real number t is given. find sin(t), cos(t), and tan(t).…

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Q: 3 x in quadrant I, then find (without finding x) : 4 If sin x = - sin(2x) %3D cos(2r) = %3D tan(2a)…

A: Given sin x=34

Q: The curves 71(t) = ( – 5t, tº, t“) and 72(t) (sin(5t), sin(2t), t) intersect at the origin. Find the…

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Q: Find tan if csc u= 12.892 and u is in Quadrant-Il (assume that 0 < u < 2T). tan() = Your answer…

A: Given cosec(u) = 12.892 Assuming 0 &lt; u &lt; 2π To find tan(u/2)

Q: In a certain city with predictable weather, the temperature (in °F) t hours after 8 am can be…

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Q: + C,? What should be the value of A so that f A : sin (6x²) dx = - cos(5x-) %3D 4 A. x С. Зх В. 2х…

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Q: 4. 4 cos? x-4 sin x - 5 0

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Q: Find the exact value. a. sin-1(sin 0.8) b. sin(sin-1 1.3) cos(cos-1 n) с. d. cos(cos-1 –0.4)

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Q: 18. Given: B = cos Find the exact value of sin 2B. %3D

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Q: COs 0 , where r<0< 4 tan 8 =, where 0 <B< What is the exact yalue of sin (A i An

A: Given,            cosθ=-34, where π≤θ≤3π2            tanβ=34, where 0≤β≤π2To find : What is the…

Q: The curves 71 (t) =(- 4t, ť, – 2t) and 7,(t) = (sin( – 3t), sin(3t), t – T) intersect at the origin.…

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Q: Find the value of the trig function indicated. 1) tan 0 2) sin 6 7V5 14

A: Solution: The objective is to find the value of sin(θ)

Q: Find sin(a + B) given that cos(a) = for a in quadrant IV and tan(8) = with 3 in quadrant I. %3D

A: Given - cos(α)=817  , tan(β)=512α lies in IV quadrant. , β lies in I quadrant. To find sin(α+β).…

Q: Consider the function y=sin0, where 0=u+v. Suppose that u = v. Show how the Sum and Difference…

A: We will see the ans in next step

Q: Sheet 3 Q1 :- Find the area inside the curve 1- r =a 2- r= 2a sin e 3-r= 2a cos 0.

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Q: 3. Find the exact value. (a) sin 6 137 (b) сos 4 (c) tan 3 (d) csc 2

A: To Find the exact value:-  a) sin 7π6 = sin π+π6 = -sin π6 = - 32   b) cos 13π4 = cos 3π+π4 =…

Q: Use a graphing utility to approximate (to three decimal places) the solutions of the following in…

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Q: Determine the measure of obtuse <D for each ratio. a) sin D = 0.45 b) cos D = - 0.21

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Q: nd a value of x that satisfies the equation sin 47° cos (x, %3D

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Q: 12. In the right triangle shown, find the sin a . B) vx-1 C) vi-x A) x D) I-x

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Q: Find the amplitule of y=-3 sin 4x, A Find the period of fea)=4cos 3 (x-)

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Q: A ladder of length AB is carried horizontally through an L-shaped turn in a hallway. A Show that the…

A: Given,

Q: Use the unit circle to find all values of 0 between 0 and 2n for which 1 sin 0 V2

A: For the solution follow the next step.

Q: Find sin(t) and cos(t) for the values of t whose terminal points are shown on the unit circle in the…

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Q: A mass weighing 16 pounds is attached to a spring whose spring constant is 25 Ib/ft. Find the…

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Q: - 7 sin(0) where T < 25 sin G) Use the given information about 0 to find the exact value of sin

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Q: On a morning of a day when the sun will pass directly overhead, the shadow of a 64-ft building on…

A: Given: On a morning of a day when the sun will pass directly overhead the shadow of a 64-ft building…

Q: Suppose that the height, in feet, above ground of one of the cabins of a Ferris wheel at t minutes…

A: The maximum height of the wheel is 66 feet.

Q: 6. If sin A = where A is in Q2 and secB = where B is in the interval , 2n|, find sin(A – B).

A: We know in the second quadrant(Q2) all the trigonometric ratios except sin and cosec take negative…

Q: Given the function y = √2 sin y = √2 sin [2(x + 1)] + +1, determine the: 3 a) Period b) y-intercept.…

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Q: Find the quadrant in which the terminal point determined by t lies if            a. sin(t) 0…

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Q: 7) Use the given figure to write the trigonometric ratio as fractions and as decimals rounded to the…

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Q: 4. Determine the value of sin 56° to four decimal places. C. 0.5218 a. 0.2736 b. 0.3115 d. 0.8290

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Q: 59. Referring to Figure 14, let a be the length of the chord AC of angle 0 of the unit circle.…

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Q: An aqueduct has water flowing through it, supplying a nearby village. Recent surveys of the duct…

A: Solve

Q: Given 0 <0 < 2n, solve tan 0 = %3D

A: Here we have to solve,

Q: 1. A = sin(tan[1 + i])

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Q: sin(2 – 3i) cos(3 – 2i)

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Q: Sketch the graph of the given equation over the interval [- 2n, 2n]. y = sin (8x) Use the graphing…

A: The given equation is y=sin(8x) Upon comparing with the general equation y=a*sin(kx) where x is the…

Q: 7.6 Find the exact value of the expression whenever it is defined. (a) arcsin 0 (b) arccos -1=D (e)…

A: A.  0,180 degree B. 180 degree C. 2/3 D. -1/5

Q: Given: sin 0 = where 90 < 0 < 180 %3D Find: tan 2/5 2 2.

A: Since, 90≤θ&lt;180So, cosθ will be negative.cosθ=-1-sin2θSubstitute…

Q: Determine the value of sin a + cos a for a = 20 degrees. %3D

A: Here we have to evaluate the value at given x.

Q: 2. sin 8 = 42 P(0) is in the second quadrant

A: Given θ lies in the second quadrant We know that sinθ , cosecθ are positive in the second quadrant…

Q: V4- x² dx. X'

A: Given