If  alpha is a Quadrant IV angle with cos(alpha)=sqrt(5)/5 and sin(beta)=sqrt(10)/10, where pi/2

Q: 6. Suppose that sin(0) of sin(20). 15 and that the terminal side of 0 is in the second quadrant.…

A: The solution is:

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

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Q: 8. If tan 03D and 0 is in QIII, what is sec 0?

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

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Q: 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: a +beta)= cos(alpha+beta)= alpha +beta is in quadrant? sin(alpha-beta)= cos(alpha-beta)=…

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Q: If sin x - cos x = 1/5, what is (sin x) (cos x) equivalent to?

A: Given sinx-cosx=15Squaring the equationsin2x+cos2x-2sinxcosx=125

Q: Find sin 2x, cos 2x, and tan 2x from the given information. 4 cos x = csc x < 0 5 sin 2x = cos 2x =…

A: Given that , Cos(x) = 4/5.  We know that , Sin2(x) + Cos2(x) = 1 Implies , Sin2(x) = 1 - Cos2(x) Or…

Q: Find sin(2x), cos(2x), and tan(2x) from the given information. sin(x) = − 3/5,   x in Quadrant III…

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Q: If 0 be a positive acute angle satisfying cos² 0 + cos“ 0 = 1 then the value of tan² 0 + tan“ 0 is

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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: Find sin(2x), cos(2x), and tan(2x) from the given information. tan(x) = - cos(x) > 0 sin(2x) cos(2x)…

A: Given,           tan(x) =-16, cos(x) &gt; 0

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

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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: If sec A = V50 with 0° < A < 90°, find sin 2A and sin 4. %3D sin 2A = sin

A: We have given that sec A=50......(1) The expression for the sec trigonometric function is given as…

Q: If sin (2x) = cos (x+30), what is the value of x?

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Q: If cos A %3D with A in QII V10 Find tan 2A. HIN

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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: 14. If sin® = , where 0° <0s 90°, what is 0? %3D

A: sin θ = 22sin θ = 12sin θ = sin 45°      θ = 45°

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

A: Evaluation of the definite Integral

Q: Find sin cos 2 (3}))

A: We Have to solve above question

Q: Given that sin2   x + cos2  x = 1 and sin x = −√2/5, what is the possible value of cos x

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Q: one of sin x, cos x, and tan x is given. Find the othertwo if x lies in the specified interval.

A: It is given that sinx=35.

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

A: Important points: 1. sin2x + cos2x = 1 2. sin2x = 2.sinx.cosx 3. cos2x = 1 - 2sin2x 4. tan2x =…

Q: If sine= 2 and sece<0, find cose and tane 2/5 cos e= 2, tane= 3 -25 cose= 3 tan e= 5 5 O sece= 2/3,…

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Q: 4. If the sine ratio is given, then how can sin be determined?

A: if sine ratio is given. Find: How can sinθ2 be determined?

Q: What is the exact value of tan(7pi / 8) if you use the tangent half-angle formulas?

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Q: 9. If the sin (x +20°) = cos x, what is the measure angle x? %3D

A: As per our guidelines we are supposed to answer only one question.kindly repost others question as a…

Q: Find sin(2x), cos(2x), and tan(2x) from the given information 15 cos(x) csc(x) 0 17 sin(2x) =…

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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: 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: If cos(x)=A, cos(y)=B, sin(x)=C and sin(y)=D, find an expression for sin(2x+y) which only involves…

A: If cos(x)=A, cos(y)=B, sin(x)=C and sin(y)=D, find an expression for sin(2x+y) which only involves…

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

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Q: Find sin 2x, cos 2x, and tan 2x from the given information. 4 cSc x < 0 5' cos x = sin 2x = cos 2x =…

A: Given  problem:-

Q: Given that = sec-(-V13/2), find sin x, cos x, tan x, csc x and cot x.

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Q: Find Sin 2x, Cos 2x, and tan2x terminateS if Cosx COSX = -15 quadrant I Hupo して 2x= Sin COS 2x = Cos…

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Q: Find sin 2x, cos 2x, and tan 2x if cos x= and x terminates in quadrant I. 13 sin 2x %3D cos 2x %3D…

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Q: Find  sin(x + y) given: sin x = − 2/3 and x is in Quadrant III; and sin y = 1/3 and y is in…

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Q: 9 Suppose that a cos x = 1 + sin x, where 0° < x < 90°. a a Prove that 1 = t, where t = tan x. a + 1…

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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) %D…

A: Given that cosecx=6 , tanx&lt;0find out the value of sin2x, cos2x and tan2x

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: Find sin(2x), cos(2x), and tan(2x) from the given information. csc(x) = 8, tan(x) < 0 %3D sin(2x)…

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Q: that the left hand side of the equation is equivalent to the right hand side. 1- - sin cat Steps:…

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Q: Find sin(2x), cos(2x), and tan(2x) from the given information. tan(x) = - cos(x) > 0 3 sin(2x) =D…

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Q: To evaluate | sin42x cos 2xdx conveniently, the formula/identity to be used islare A sin²2x=1–…

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Q: Suppose, for some angle 0 drawn in standard position, tan(e) = -24/7 and sin(0) < 0. Find the exact…

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Q: Find sin 2x, cos 2x, and tan 2x if sinx and x terminates in quadrant IV. sin 2x cos 2x %3D tan 2x

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Ratios

A ratio is a comparison between two numbers of the same kind. It represents how many times one number contains another. It also represents how small or large one number is compared to the other.

Trigonometric Ratios

Trigonometric ratios give values of trigonometric functions. It always deals with triangles that have one angle measuring 90 degrees. These triangles are right-angled. We take the ratio of sides of these triangles.