3 *(Show all work) In a right triangle, the acute angles have the relationship sin(2x+ 4) cos(46). What is the value of x? 1) 20 2) 21 3) 24 4) 25

Q: 4 TT 37. tanα < a < T; cos B = 2' 50 < B < -- %3D 3 2 2

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Q: 3 where 0<xS 5' sin x

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Q: f(1,-2,リミ

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Q: Q: If cosece - sin e = t and sece - cos e = m, prove that l'm? (12 + m2 +3) =1 1. %3D

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Q: 8 Find the anti denivapine Sfa) faa or © f la) = Cos ( 6x) 16 - Sin? ( 6x)

A: f(x) = cos(6x)16-sin2(6x) ⇒I=∫f(x) = ∫cos(6x)16-sin2(6x)dx Since dsinxdx=cosx, therefore:…

Q: <O< 2T, sec(0)=9/4, find sin(0)=_ Suppose that places) (round to 3 decimal 2

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Q: b) Describe, the motion of a particle with position (x,y) as t varies in' tthe given interval X= 5+…

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Q: 2) Given y = Cos x and y= 20 Period 28 D Period = X Degrees y= Cosx 1

A: Given  y=cosx and y=2cosπx the period of a cos function is 2π so period=2π/b =2π which implies that…

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Q: a) By expanding sin (2x + x) and using double angle formulae, show that sin 3x = 3 sin x – 4 sin°x .…

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Q: 9. Decide whether or not the following equations are true or false: e° = cos" r + sin² r = cosh? r –…

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Q: (a) , f(r cos 0,r sin 0 )rdrde

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Q: 3. Using the fact that sin 2a = 2 sin a cos a, and the fact that 0 = 2a, rewrite the area of the…

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Q: (g Suppose cos(a) = - and sin(a) is positive. 3 If the point (-2, y) is on the terminal side of the…

A: Given,           cosα=-23 and sinα is positive. Also, the point -2,y is on the terminal side of the…

Q: 1) Evaluate. x cosh ax dx

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Q: What is the exact value of cos ZPQR? 3. R. 21 16 7 16 3 16 4. 1/4

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Q: Express the number –9 in the form R(cos(0) + i sin(0)) = Rei where R0 and 0 ≤ 0 ≤ 2π. NOTE: Enter…

A: Solution :  Given  number   - 9

Q: 4. Use the diagram below to complete the table. y B 4 Coordinates of B sin 4 cos 4 3n tan 4

A: We have to find coordinates

Q: 0° S (c) Prove that: 2cos 20. cose 2 + 2 tan0. sin0 = %3D cos?e – sin? e cose o AEGW is drawn.

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Q: If (Mesin(2) dx = e°sin(2») + C, then the M is equal to

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Q: the squ tS ol mplex 5л 5л 9 (cos () + i sin()). Select all correct Z = 9 9. answers.

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Q: 3. If v = sin- (4) + tan-' (±), find the value of r + y. 4. If z= ear+by. f(ax – by), prove that b…

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Q: How many petals does the rose curve r = 3 sin 40 have in the interval [0, T]? O 16 O 4 O 8

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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: B. FIND THE FOLLOWING ANGLES, WHICH LIE BETWEEN O AND 90°: (d) Cos 1.000 (e) Tan 0.500 (f) Tan 8.500…

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Q: 3 la] Without using the calculator , find the value of X V3 tan X = sin 30° cos 60° + cos 30° sin…

A: Given: √3  tan X = sin 30° cos 60° + cos 30° sin 60°

Q: 11 Suppose that 0 is an acute angle of a right triangle and that sec(0) Find csc(0) and tan(0). 7 6…

A: Given query is to find indicated trigonometric functions.

Q: 4 pts Two angles, X and Y , are complementary. If cos(X)=, what is sin(Y) ? O not enough information…

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Q: Find all angles v between −π and π for which 2 √3 *sin(v)+2 cos(v)=2

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Q: Suppose that y is an angle with cOs y 4 and y is not in the fourth quadrant. Compute the exact value…

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Q: If sin t = - and t is in the 3rd quadrant, then tant: 21 2 29 5 2 21 V21 5 V21

A: Sin t = -2/5  t is in 3rd quadrant.

Q: Assume that x, y ER and z = x + iy E C and answer the followings: 1. Evaluate sin(i) =?, cos(i) =? ,…

A: Since the questions contains many subparts as per the guidelines I am answering the first three…

Q: The question is to, find a general solution and to show the steps of derivation.

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Q: Find the points on the curve where the tangent is horizontal or vertical. Express the answer as…

A: Given, x = 4 cosθ, y = sin2θ

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Q: The appropriate trigonometric substitution for dx is V3x-x2 ww 3 X = 9 3 + sec 0 2 4 3 +sine x = O…

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Q: 213 If cot 0+ tan = and sece - sece = y, Prove that (x'y)° (xy²)*° = %3D

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Q: 6. Plot r = 4 cos O :

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Q: .2π π 1 -εrocos? θ r dr sinθdθ φdφ x 32 πο X = ?

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Q: a) By expanding sin (2x + x) and using double angle formulae, show that sin 3x = 3 sin x- 4 sin'x.…

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Q: Tt/2 2 sin(2x) dx 4– cos(2x)

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Q: Given, w=2iz - sin iz. Find i dz 2+ cos iz -2- cos iz -2+cos iz -2+cos z

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Q: 2. 16 4F6 Sin O how far is the directrix from the pole poce

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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.