4 and 90° <0<180°. 3 Suppose that tan 0=- Find the exact values of sin and tan 2 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: 15 Suppose that tan ɑ = and 90° <a < 180°. 8 Find the exact values of cos 5 and tan-

A: Given, tanα =-158, 90°&lt;α&lt;180°

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: 7. Find sin , given that sin 0 =², 3 and 0 terminates in 270° < 0 < 360°.

A: Given 270&lt;θ&lt;360. so, given that θ is in the 4th quadrant. There cos is positive

Q: 7. Find the maximum and minimum values of the expression 2 cos 0-4sin 0. Hence, determine the angles…

A: Given: The expression is: 2 cos θ-4 sin θ Find the maximum and minimum values of the given…

Q: 2 and 270° <0 < 360°. 13 Suppose that sin0 = - Find the exact values of sin - and tan

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Q: 3. Find all angles 0 in the interval [0, 360°) that satisfy the equation tan 0 = 1.348. a) 0 to…

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Q: 4 Suppose that sina and 90° < a < 180°. 5 a Find the exact values of sin and tan 2 गंत 2

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Q: 2) What is the cos Z? Express fractions in the lowest terms. NO DECIMALS 40 Y 9. 41 Your answer 3)…

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Q: 8 If tan 0=, T<0< find the exact value of each of the following. 5' 2 (a) sin (20) (b) cos (20) (c)…

A: We use Trigonometry ratios, double angle and half angle formulas

Q: 3 5 3n If cos x = - 5 , where sin (x - y). , and cot y = 12 , where 2 determine the exact value of

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Q: 12 If sin 0 = - 13 0 <0< - , find the exact value of each of the following. (a) sin (20) (b) cos…

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Q: 12. Find tane, given that sin 0 =,and 0 is in QII. b.-3 a.- d.3 3

A: Given that sinθ = 1/2, and θ is in quadrant II. we know that sin(180-θ)=sinθ if θ is in II quadrant.…

Q: – 7. then find exact values for the following: 4 - If 0 = cos(0) equals sin(0) equals tan(0) equals

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Q: 7. Find the maximum and minimum values of the expression 2cos 0-4 sin0. Hence, determine the angles…

A: Given function can be written as…

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: 15 Given: sin0 and %3D 17 2 Find the exact value of: cos 2 cos

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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: 4 where 90° <a <180°, 5 If sin a a find the exact value of tan 2 2 -1/2 1/2 -2

A: Sine of an angle is positive if the angle lies in first and second quadrant. Sine of an angle is…

Q: 11. Find tan 0, given that cot 0=-0.25 1 d.- а.-4 c.4 4

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Q: 9. Evaluate. Give the exact answer, not a rounded off decimal. a. tan−1 (√3) b. sec (sin−1 ( 5 13))

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Q: Find sin(2x), cos(2x), and tan(2x) from the given inform 12 tan(x) = x in Quadrant II 5

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Q: 8. If cos 0 = and tan 0 = , 15 8 9 17 what is sin 0? sin 0 = %3D Report your answer in simplest…

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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: 3n 8 If tan 0= find the exact value of each of the following. 2 cos (20)

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Q: 2 then which of the 5 An angle e drawn in standard position terminates in the fourth quadrant. If…

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Q: Suppose that cos θ = 2/5. Calculate tan θ in the following two cases: π<θ< 2π.

A: Given  that cos θ = 2/5. To Calculate: tan θ in the following two cases: π&lt;θ&lt; 2π

Q: PART A. Suppose that sin(01) 2 and cos(02) 3 where 01 and 02 are both in the fourth 4 = - -…

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Q: Given cos(0) = choose all possible values of tan(4) from the given values. %3D 25 O tan(8) = -4 %3D…

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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: 2. Find the exact value of the following a. cos 12 b. sin (70°) cos (40°) – cos (70°) sin (40°)

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Q: (1) Find the exact values, without using a calculator, of sin (2r), cos (2r) and tan(2r) if tan (r)…

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Q: (a) The solutions of the trigonometric equation tan(30) +1 = 0 are: 37 kT ; + ka (i) + kT (ii) 4…

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Q: 3. Suppose cos(0) %3D a. There are two possible angle measures 0 within the interval from 0 to 2r.…

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Q: 11. Find the exact value of sin(20), cos(20), and tan(20) under the given conditions. Show all work…

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Q: 5 and 2 Suppose that csc0 = <0<n. 2 Find the exact values of sin - and tan 2

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Q: 12 Given that sine 13 and 0 < 0 <, find sin(20) and cos(20)

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Q: 8. 15 Use the figure above to find the exact value of sin 20, cos 20, tan 20. sin 20= cos 20= tan…

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Q: 7. Verify the identity 1+cos 2x+2sin² x = 2 1 and <θ<π, find sin- 8. Given tan O 3 2 9. Use half…

A: Explained below

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: 4 Given: sine 37 and t <0 < 2 Find the exact value of: tan20 24 A) 7 Mr. Johnson 15 B) 8 Mrs.…

A: we will use the trigonometry

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: 4 , x in quadrant I, then find (without finding x) : 5 If sin x = 24 sin(2æ) = 25 cos (2x) = tan(2x)…

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Q: Suppose a = 12 and b = 9. Find an exact value or give at least two decimal places: sin(A) = %3D

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Q: Suppose that sin a = and t <a < 13 Find the exact values of sin and tan 2. 2.

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Q: Suppose that sec a 17 and T<a<• 8 2 a Find the exact values of sin - and tan- 2 JT sin Undefined ?…

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Q: /21 find the value of 5 3 - tan 0. cos 0 :15. Given that cos 0 =

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Q: 1. Find the values of sin 20, cos 20 and tan 20, given: 9 3n a. tan 0 if n<0 < 40 2 3n b. sin 0 if <…

A: Giventanθ=940 ifπ&lt;θ&lt;3π2sinθ=-12 if 3π2&lt;θ&lt;2π.To findsin2θ, cos2 and tanθ