sin 2x 29. sin x cos 2r = sec x cos x

Q: Use addition formulas and the values of sin θ and cos θ for θ = π/3 , π/4 to compute sin π /12 and…

A: To calculate sin π /12 sinπ12=sinπ3-π4=sinπ3cosπ4-cosπ3sinπ4=32·12-12·12sinπ12=3-122

Q: Verify the identity by transforming the lefthand side into the right-hand side.

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Q: - Use the double-angle identities to find tan(2x) if cosx = Enter an exact answer. Sain(4x) sin(1…

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Q: If sinx−cosx=0, then what is the value of sin^4x+cos^4x?

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Q: If cosθ=4/7 and csc θ<0, find sinθ and tanθ

A: The solution is given below:

Q: Find the exact value ofcos(α+β)under the given conditions.   sinα=15/17, 0<α<π/2​;…

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Q: Find the exact values: 1. tan tan ((-(square root of 3)/2)) 2. cos cos ((-8/15)) 3. sin sin…

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Q: Express cot2 x + csc2 x in terms of sin x and cos x, and simplify.

A: Given that, cot2x+csc2x --- (1)

Q: Express 2 sin 13° cos 48° v. as a sum

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Q: cos(3x) = 4 cos x – 3 cos x. COS

A: To Determine:  Use addition formulas and double angle formulas to verify the identity.  Given: we…

Q: Find sin(2x), cos(2x), and tan(2x) from the given information. csc(x) = 4, tan(x) < 0 sin (2x) =…

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Q: By using substitution, show that x = 4 pi / 6 is a solution to the equation sin (2x) = cos (x). Show…

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Q: Determine the exact value of sin 160° cos 35° – sin 75° cos 55°. -

A: Given information: sin160cos35-sin(75)cos(55)

Q: Find sin(2x), cos(2x), and tan(2x) from the given information. csc(x) = 4, tan(x) < 0 sin(2x)…

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Q: If x is an acute angle sinx = cosx. Find the value of 2tan2x + sin2 x - 1

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Q: The value of cos x is given. Find sin x and tan x if x lies in the specified interval. 24 COS X= xE…

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Q: Find cos θ and tan θ if sin θ = 0.4 and π/2 ≤ θ &lt; π.

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Q: Find sin(2x), cos(2x), and tan(2x) from the given information. csc(x) = 6, tan(x) < 0 sin(2x) =…

A: Given

Q: Assume that 0≤ θ &lt; π/2, Find sin 2θ and cos 2θ if tan θ = √2

A: Assume that 0≤ θ &lt; π/2, Find sin 2θ and cos 2θ if tan θ = √2

Q: Sin tan/3 4 70 2u

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Q: Use addition formulas and the values of sin θ and cos θ for θ = π/3 ,π/4 to compute sin 7π /12 and…

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Q: If csc(x)=3,for 90∘  &lt;x&lt;180∘,then: sin (x/2)= cos (x/2)= tan (x/2)=   Use a half angle formula…

A: Given function is

Q: If csc(z) = 6, for 90° < x < 180°, then sin com ) - [ tan) - COS

A: First of all find the value of x, then find the given

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: Verify the identity (sin x + cos x)² = 1+ sin 2x by converting the left hand side to the right. Give…

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Q: Find the exact value of sin 20 if tan 0 with 0 in QII. 4 %3D O - 8 17 13 17 8 17 17 o 4V17 17

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Q: Find sin(2x), cos(2x), and tan(2x) from the given information. cos(x) =  12 13,   csc(x) < 0…

A: We shall use the trigonometry identities   Sin2x +cos2x =1 Sin2x= 2sinx Cosx   Cos2x= 1- 2sin2x…

Q: 4 If tan x = and <x< T, find sin (2x). - 7

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Q: sin 2x 5. cot x = 1- cos 2.x

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Q: Find all radian solutions using exact values only.   2 cos x - sec x +tan x = 0

A: Given equation - 2cosx-secx+tanx = 02cosx-1cosx+sinxcosx = 02cosxcosx-1+sinxcosx =…

Q: Find sin(2x), cos(2x), and tan(2x) from the given information. csc(x) = 6,   tan(x) &lt; 0…

A: Given informationCosec(x) = 6, tan(x) &lt;0

Q: if 0°<θ<90° and sin⁡θ=3/8, find cos⁡2θ.

A: To find: cos2θ Given information: if 0°&lt;θ&lt;90° and sinθ=38 Formula used: cos2θ=1-2sin2θ

Q: Show that sin , +sin ¤, = 2 cos[;(4, – Þ,)]sin[;(P, +Ð,)]

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Q: If 2 sin-' p = cos-q, show that 4p² – 4pª + q° = 1.

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Q: Write sin(2x) cos(7x) as a sum of trigonometric functions. sin (9x) + cos(2x) sin(7x) X

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Q: What is the exact value of cos(85°) cos(65°)– sin(85°)sin(65°) ,

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Q: Let 0 <0<. If sin 0 3 what is the value of sin 20?

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Q: Express as a sum or difference.2 sin 9 θ cos 3 θ

A: Given,           2sin9θcos3θ

Q: Prove the identity. sin 4x 4 cos x cos 2x sin x Use the Double-Angle Formula for Sine as needed and…

A: Here we prove the identifySin4xSin4= 4 cos 4  cos 2x

Q: Find sin(20) if sec 0 = 3/2 and tan 0 < 0. %3D

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Q: If csc(x) = 8, for 90° < x < 180°, then %3D sin COS 2 (5) tan() = Ouestion Help:

A: It is given that, cosec(x)=8,    90°&lt;x&lt;180° So, we have, sinx=18 We know that,…

Q: 35. cos x + = sin x %3D

A: Solving the problem by doing the verification.

Q: Suppose that sin 0 3 and 90°<0< 180°. %3D Find the exact values of sin and tan 2 sin - 0 %3D 2 %3D…

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Q: Find the exact value, without a calculator. 30° sin 2 30° CoS sin 15° tan 15° = %3D cos 15° ? ]- VI…

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Q: Find sinθ and cosθ if tanθ=1/5 and sinθ &gt;0.

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Q: If cos 0+sin 6= /2 cos 0, show that cos 0-sin 6 = /2 sin 6.

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Q: If csc(x) = 8, for 90° < x < 180°, then sin) Preview %3D cos) Preview COS %3D Preview tan 2 %3D

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Q: What is the simplified form of cos 10r-cos 4x sin 10x+sin 4x O -cot(7x) O -tan(7x) O tan(7x) O no…

A: SOLUTION-