1) If sine =,0 < 0 < , find the exact value of each of the following. a) sin(20) b) cos(20) c) sin- d) cos: 2

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A: First of all use the trigonometric identity that is cosα=1-2sin2α2 and now substitute -35 in place…

Q: 7) Find the exact value of 5TT COS COS 12 TC +sin 12 sin 12 12

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Q: 12. Verify the identity by transforming the left side of the equation into the right side. csc 0-sin…

A: 12. We need to verify the following identity cscθ-sinθ = cotθcosθ

Q: 3 3. If sin t =- 5 <t < 2n ,find the exact values of sin 2f, cos 2t , and tan 2t. 2

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Q: Find sin(2x), cos(2x), and tan(2x) from the given information. sin(x) = - 3 x in Quadrant III…

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Q: 5. Given that 2 sin 20 = cos 20, a) show that tan 20 = 0.5. b) hence find the values of 0, to one…

A: given that 2sin2θ=cos2θ to prove that tan2θ=0.5 proceed as follows  2sin2θcos2θ=1tan2θ=12tan2θ=0.5

Q: If Sin 0= 3/5 , find without using tables the values of: i) Cos 0 ii) tan 6 (ans.: i) 4/5; i) 3/4)

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Q: Suppose that sina= 13 and TC <a<Tt. 2 Find the exact values of cos and tan 2 cos = 0 %3D CoS 2 | %3D…

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Q: Find sin(2x), cos(2x), and tan(2x) from the given information. sin(x) = 5/13, x in Quadrant I

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Q: 3 1 - If sin 0 = - and < 0 < , find the exact value of: (a) cos 0 (b) tan 0 (c) sin (20) (d) cos…

A: sinθ=-13 and π&lt;θ&lt;3π2

Q: 4 Suppose that sin e -and <0<1. Find the exact values of cos 2 and tan 2. Cos 2. = D tan, 2) %3D

A: As we know sin2θ+cos2θ=1. cosθ=1-452=1-1625=-35 Using Double angle formula: sinθ2=1-cosθ2=1+352=810…

Q: 4. sin 20 + cos 0 = 0 on the interval [0, 27) *Hint: use Double Angle Formula

A: sin(2θ)+cos(θ)=0We know that ,…

Q: 1 If sin z x in quadrant I, then find (without finding x) : 5 sin(2x) = cos(2x) = tan(2x) :

A: We are given that           . Now, we need to find the above expressions without finding x. Since…

Q: 5) Find the exact value of sin 80° cos 290°- cos 80° sin 290°

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Q: 1) Calculate Sin(5x)=-√(2)/2 2) Calculate Sin 15° in two ways: a)Using half-angle formulae. b)Using…

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Q: 4 5. Find the exact value of sin 105° using half-angle identity. 2+ V3 А. V2+ v2 С. B. V2 + V3 D. V2…

A: Given:  sin105o

Q: 11. If 0° <0<90° and sin 6 = , find cos 0 using trigonometric identities. %3D 13

A: Explanation: Given that,  sinθ=1213 ;   0°&lt;θ&lt;90° We know that,  In trigonometric ratio:…

Q: 3) Find the values of sin 0, cos 0, and tan 0, if 0 is in standard position and its terminal side…

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Q: Find the exact value of sin α = 3/5 , 0&lt;α&lt;π/2, and sin β = 12/13, π/2&lt;β&lt;π. under the…

A: Since you have posted a question with multiple sub-parts, we will solve only first three sub-parts…

Q: 3 Find sin 2x, cos 2x, and tan 2x if sin x= and x terminates in quadrant 5 sin 2x ? cos 2x %3D tan…

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Q: cos(0)tan(8) sec? (ө) — 1 is written in terms of sin(e) only and simplified, what is the resulting…

A: Topic:- trigonometry

Q: Just tangent

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Q: Find sin - and cos 2' given that cos 0 and 0<0 < 3

A: Please refer the attached image for complete solution. THANK YOU.

Q: 10. Use trig identities to transform the left side of the equation into the right side. cos(0)…

A: To Prove: sin θcos θ+cos θsin θ=csc(θ).sec(θ)

Q: and tan (즐) Find sin cos from the given informat 5 sin(x) 0° < x < 90° 13" %3D

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Q: 2. Find the exact value of the following expressions: а) sec-- cos + sin b) sin 12 4 6

A: topic - trigonometric ratios

Q: Find sin(2x), cos(2x), and tan(2x) from the given information. sec(x) = 8, x in Quadrant IV sin(2x)…

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Q: 3 3. Find the value of cos(2x) given that sin x = -and x is in QII.

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Q: 5. What is the purpose of using Odd and Even functions in Trigonometry? Also, indicate if sin 0, cos…

A: Graph of odd functions are symmetric about origin. i.e If  function f(x) is odd function, then f(-x)…

Q: Find sin(2x), cos(2x), and tan(2x) from the given information. sin(x) = // 1₁ x in Quadrant I…

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Q: 2. Find the exact value of sin 20 and cos 20 if sin 0 = and angle 0 lies in quadrant II.

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Q: 24 If tan(0) = 10 0 <0< 90°, then the exact value of Hint sin(0) = %3D cos(0) : COS %3D sec(0) = %3D

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Q: Find the exact values of sin(0/2), cos(0/2), and tan(0/2) for the given conditions. 5 sec 0 180° < 0…

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Q: Find sin sin(3) coo(), and tan) from the given information. COS tan(x) = V2, 0° < x < 90° sin 2…

A: We have to solve one question as per guidelines

Q: 1. Evaluate sin(0 + ¢), where sin 0 = 2 with 0 in 2nd quadrant and tan ø = with o in 3rd quadrant.

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Q: a) sin 4pi/3   b) cos 4pi/3 c) tan ( -9pi/4)

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Q: Find sin(2x), cos(2x), and tan(2x) from the given information. sec(x) = 6, x in Quadrant IV sin(2x)…

A: Answer and explanation is given below

Q: 4. Establish the identity using the sum and difference formulas: sin (m – 0) = sin 0

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Q: 1 Suppose that cota= and - <a<T. <a<n. 2 Find the exact values of sin- and tan- 2 2 JT

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Q: 4 1. Find the value of (icos-+ sin TT sin-) 8.

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Q: T. If 0 = then sin(8) = %3D cos (0) = COS Give exact values. No decimals allowed!

A: Givenθ=π6

Q: 4. If sin z x in quadrant I, then find (without finding x) 6. sin(2z) cos(2z) tan(2a) =

A: Sin x= 4/9 = Perpendicular / Hypotenuse So, ( Base)2 = H2 - P2                       = 92 - 42…

Q: 12 Determine the exact value of sin 20 given that cos=- and 13 3π 2 π<0< without determining the…

A: Concept: Trigonometric ratios: sinθ=PH; cosθ=BH Where P is perpendicular , H is hypotenuse and B is…

Q: Find sin(2x), cos(2x), and tan(2x) from the given information. sin(x) = , x in Quadrant I 5' sin(2x)…

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Q: 1.1 if x=37° and y=44°, Calculate the value of sin'x + 2cos y 1.2 WITHOUT using calculator,…

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Q: Find the exact simplified value.

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Q: 3 Find the value of tan 0/2, if sin 0=-4/5 and e in QIII. O 1/2 2+V3 -2 14. Given tan e=1 and cos…

A: Note :-As you mentioned here for solution only question no. 14 so i am solving only this.

Q: Find sin 2x, cos 2x, and tan 2x from the given information. 15 tan x = - x in Quadrant II sin 2x =…

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Q: 2. If sin B is positive and cos B = find the exact values of csc ß and tan B. %3!

A: we know that sin θ = perpendicular/hypo cosθ  = base/hypo cscθ = hypo/perpendicular tan θ=…