4. (a) (i) Given sin t = 2 where t is in quadrant 2, find the exact value of cos t. Hint: sin? 0 + cos² 0 = 1. (ii) Hence find the exact value of tan t. (iii) Find the exact value of sin 2t. Hint: sin 2t = 2 sin t x cos t.

Q: Parts D,E, and F

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Q: 3 x in quadrant I, then find (without finding x) : If sin z 5 sin(2x) cos(2x) = tan(2x) = ||

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Q: () V3 е) Cos b) sin'(0) h) tan 13

A: (b) We have to find angle of sin-10. Let θ=sin-10 ⇒sinθ=0 We know that sinx has its value 0 at x=nπ,…

Q: 4. The amplitude of the function y = 2 tan 2x + 2 is 2. 5. If sin 0 > 0 and cos e < 0,0<es 360°,…

A: Question is solved.

Q: B) 1- Given that a = sin Find cos x, tan x, cot x, secx and csc x ?

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Q: 3 and x terminates in quadrant II. V10 Find sin 2x, cos 2x, and tan 2x if cosx=- sin 2x cos 2x %3D…

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Q: 7 Given tan(x) = - and x is in the Quadrant IV. 24 Find the exact value of cos(-)

A: Given that tanx=-724 and x is in fourth quadrant find cosx2 we know the trignometric identities…

Q: This gives us Ma - + [12 cos(금) + 12 co여(음)+ 12 cos() + 12 cos(용) 49 64 (rounded to six decimal…

A: 1/4(12*cos(1/64)+12*cos(9/64)+12*cos(25/64)+12*cos(49/64))…

Q: sin(x) = 13/23 (in quadrant 1),find cos(2x)=

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Q: 3 T 3. Find the exact value of sin 8. 1 + cos 0 - cos e 1 = + cos = ± sin cos O tan 1 + cos 0

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Q: 3. Find the period and amplitude of: y = 4 + +cos (x)

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

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Q: Find cos(s - t) given that cos s = -5/13 , with s in quadrant II, and sin t =15/17 , with t in…

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Q: 3 Find the exact value of tan(2x) given sin(x) = х in -- quadrant III. А. 17/6 В. 19/6 С. 22/7 D.…

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Q: 1 f sinz = x in quadrant I, then find the exact answers for the following (without finding x) :…

A: We have to solve the values of trigonometric functions. If Sin x=1/6 Using the trigonometric…

Q: (-) Suppose v is in the interval with tan v = -3. Find the exact expression for the indicated…

A:

Q: If sin t = 3 and t is in the 2"d quadrant, then i) tant = ii) sec t =

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

A: Given, t is terminal points on the unit circle shown in the figure. t increases in increment π6

Q: If x = cos³(e) – sin²(e) and y=1-tan?(e) COS Find for e= 30° and correct to three significant digits…

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Q: A3.-- LA = a/b * O cos cot sin sec tan

A: As per the instruction, we will be answering only the first question. For (3), Given:

Q: 3 7, x in quadrant I, then find (without finding x) : 4 If sin z sin(2x) cos(2r) tan(2a)

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Q: Assume that a particle’s position on the x-axis is given byx = 3 cos t + 4 sin t,where x is measured…

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Q: 15 and T < 0 < 8 find the exact 2 20. Given tan 0 function values. a. sin b. cos- c. tan-

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Q: 4. Find the value of cos (A+B) for A terminating in quadrant III and B terminating in quadrant IV…

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Q: 1 The function (x) = x sin x satisfies the following equation: f"(x) + (x) + t cosx = 0. The value…

A: Introduction :

Q: Q5. a) Suppose tan x = - and x is in the second quadrant. Then find: (i) sec x (ii) cos x (iii) sin…

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Q: ) Let Sin x = -12 13 X in quadrant II , and siny=21 Y in quadrant I. Find al Sin (x +y) b) Cos (x-Y)…

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Q: 7 T sin 8 What is the exact value of Show your work

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Q: If sin t 3 and t is in the 2nd quadrant, then 5 i) tant = ii) sec t

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Q: 1)use the given information to find  a)sin (s+t) b)tan(s+t) and c)the quadrant of s+t. cos…

A: Hello. Since your question has multiple parts, we will solve first question for you. If you want…

Q: When t = 0, AP = ..... so sin t will begin at a value of 0. As t increases from 0 to 7T/2, sin…

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Q: Q1/ Answer the following: (a) Show that sin-x + cos-1x = " 2 x(x-y) (b) Find the value of tan-1…

A: Note: "Since you have asked multiple question, we will solve the first question for you. If you want…

Q: exp (еҳp(-in)) cos TT - i sin T 0.3679 - exp(cos t - i sin Tt) -0.3679

A: solution of the given problem is below...

Q: Find the value of Sin-1x + Cos-1x where x e [-1,1] В. п c. А. 1 D. 0

A: Since we are given with multiple number of questions and our guideline is solve the first question…

Q: 2/12 6. If sin(t) =- and cos(t) < 0, find the exact value of tan(t). %3D

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Q: 22. Given that v3 cos x + sin x = R cos(x – 0), where R > 0 and 0 < 8 < , the values of R and tan 0…

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Q: find cos(s-t) given that cos s=-5/13, with s in quadrant 2, and sin t=8/17, with t in quadrant 2

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Q: 3) Find sin(s+ t) given that cos s = with s in quadrant I, and sin t = - with t in quadrant IV. 2

A: We are solving the first question and for the next question post the question again and also mention…

Q: 36-40. Find sin (s + t), given that sin s = and sin t = -- ,s in quadrant Il and t in quadrant IV.

A: Given sins=23sint=-13

Q: Suppose that sin(a) = 4/5 and cos(b) =4/7 define in the first quadrant, determine tan(a+b). (round…

A: Given, sin(a) = 4/5 ------equation 1 cos(b) =4/7 ------equation 2

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

A:

Q: 1 Find cos(s + t) given that cos s=- with s in quadrant I, and sin t= - – with tin quadrant IV.

A: 1.Cosine Sum Formula:- Cos(x+y)= Cosx*Cosy-Sinx*Siny 2.Sine function is positive in 4th quadrant.…

Q: B) If E-o(sin x)2" 2 tan x then find the value of x. 00 %3D

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Q: 1 x in quadrant I, then find (without finding x) 4 If sin x = sin(2æ) = cos(2x) tan(2x)

A: Given: sin x=14 and x in quadrant I

Q: ] . Find cos(20). T Let sin(0) = ,with 0 E 0,

A: The basic formula used in this question is- Cos(2x)= 1-2sin2x

Q: 7 - If æy + sin(e") + arcsin a = sin 1+ then what is the value of at (4, 0)? b) а) b) b. c) C d) d.…

A: Given: xy+siney2+sin-1x=sin1+π6

Q: (2-4t) sin(팔) 17 – cos(2nt) Given f(x) = dt, find the equation of the line tangent to the graph of f…

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Q: 15 Find the exact value of the trigonometric expression given that sin(u) = - where 31/2 < u < 2n,…

A: we have given sin u =-35  (IVth quadrant) ⇒u=sin-1(-35) =-36.87° or 323.13°cos v =1517 (Ist…

Q: 14. Find sin 0, given that cos0=Y,and tan 0 <0. V5 V59 a.- 8 5 C.- 8 d

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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.