If cos t =- and t is in the 3rd quadrant, then sin t = V45 O V53 V45 V45 V45

Q: Q: If a cose - b sin 0 = c, Prove that a sin e + b cos e =+Va?+ b² – c² .

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Q: and 0<t < T find sin t, cos t, sect, csc t, cot t. 2' If tant

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Q: B) 1- Given that a = sin Find cos x, tan x, cot x, secx and csc x ?

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Q: 4. State the quadrant in which 0 lies. a) cos 0 > 0, tan 0 0

A: Introduction: All sin tan cos rule: All sin tan cos rule is all trigonometrical ratios in the first…

Q: find sin ). co ), aud tan for each gueton Sin X = 4 and x is ふ quadrant

A: We have to find  Sin(x/2) ,Cos(π/2), and tan(π/2); For sin(x) = 1/8 and x is in first quadrant.

Q: 8 Find cos (s-t) given that cos%= with s in quadrant II, and sin t= 13' with t in quadrant II. 17'…

A: In the second quadrant, sin is positive and cos is negative.

Q: COs 0 , where r<0< 4 tan 8 =, where 0 <B< What is the exact yalue of sin (A i An

A: Given,            cosθ=-34, where π≤θ≤3π2            tanβ=34, where 0≤β≤π2To find : What is the…

Q: Use the cosine of a sum and cosine of a difference identities to find cos (s + t) and cos (s-t). 3…

A: Given : sin(s) = 3/5, sin(t) = -12/13, s is Q2 and t is Q4.   where,            cos(s) = √1-sin2(s)…

Q: given that t=tan-1(4/3), find the exact value of sin(t)

A: It is given that, t=tan-1(4/3) or, tan(t)=4/3......(1)

Q: Express cot 0 (e in quadrant III ) in terms of cos 0. cos e V1+cos²e cos e V1-cos²e cos e /1-cos²e…

A: we have to express cot θ in term of cos θ where θis in third quadrant we know that cot θ = 1tan θ…

Q: O E sinødø The is equal to cos+Ø tan3ø + C А. sec?Ø В. + C 3 sinØ С. +C 3 cos'Ø D. + C 3 E.None of…

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Q: Find sin(t) and cos(t) for the values of t whose terminal points are shown on the unit circle in the…

A: We will use a unit circle. Unit circle is of the form cosθ,sinθ

Q: Find cos(s - t) given that cos s = -5/13 , with s in quadrant II, and sin t =15/17 , with t in…

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Q: If cos t = – and t is in the 3rd quadrant, then sin t V45 7 V45 7 /53 7 V45 2 V45 2

A: We have to find the value of sin t if t is in third quadrant and cos t=-27. We know the identity,…

Q: Find the exact value of the trigonometric expression given that sin(u) = -, where 37/2 < u < 27, and…

A: Given: sin(u)=-35             cos(v)=1517

Q: If sin 0= and is in QII, cos is equal to COS A 4/5 5/3 -4/5 D -5/3 B.

A: Given Sinθ=35We know sin2x+cos2x=1Upon substituting:cos x=1-sin2x        =1-(35)2

Q: Find the solution set of the trigonometric equation (4 cos“ a + 2 – 3 sin æ)(tan e + 1) = 0 where 0…

A: We need to find solution set of given equation.

Q: Find the exact value of sin(u-v) given that sin u = 15/17 and sin v =12/13, with u and v in quadrant…

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Q: If sin t = 3 and t is in the 2"d quadrant, then i) tant = ii) sec t =

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Q: Find sin(t) and cos(t) for the values of t whose terminal points are shown on the unit circle in the…

A: Given, t is terminal points on the unit circle shown in the figure. t increases in increment π6

Q: d) Verify the identity sin 0 tan 2, 1+ cos e

A: To prove:

Q: ind the exact value(s) of sin (8), if cos(8) , and 0se<a xpress v3 sin(x) + v2 cos(x) in the form…

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Q: e sin (e^) cos" (e*) c 6. COS

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Q: Evaluate the expression under the given conditions. sin(0 + q); sin(0) = 8 0 in Quadrant I, cos(@) =…

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Q: Find cos ( s + t ) and cos ( s - t ) Cos s = - 1/5 and sin t = 3/5 , s and t quadrant II.

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Q: Find sin(a) and cos(ß), tan(a) and cot(B), and sec(a) and csc(B). 4 7

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Q: (a) sin(e/2) (b) cos(e/2) (c) tan(8/2)

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Q: Determine the measure of obtuse <D for each ratio. a) sin D = 0.45 b) cos D = - 0.21

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Q: If cos 0 = -- and T < 0 < 3, what is the value of cos () ? 3 V14 V 14

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Q: Find the exact value of the trigonometric expression given that sin(u) = 2, where 31/2 < u < 2n, and…

A: sinu=-35,  cosv=1517,  3π2&lt;u&lt;2π,  0&lt;v&lt;π2. By using the identity sin2u+cos2u=1, we get…

Q: Find the exact value of the trigonometric expression given that sin(u) = - where 31/2 <u < 2n, and…

A: sin u=-35 , 3π2&lt;u&lt;2π and cos v=1517 , 0&lt;v&lt;π2we have to find csc(u-v)

Q: If sin t 3 and t is in the 2nd quadrant, then 5 i) tant = ii) sec t

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Q: Find the exact value of the trigonometric expression given that sin(u) = - where 3t/2 < u < 2n, and…

A: Yes, you entered the correct answer. Please refer the attached image for complete solution.

Q: Find the exact value of the expressions cos(a + B), sin(a + B) and tan(a + B) under the following…

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Q: If cos(t) = 1/7 and t is in the 4th quadrant, find sin(t).

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Q: If sin t = - and t is in the 3rd quadrant, - then cos t = V16 5 V34 V16 3 Vī6 V16 3

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Q: B/ Find sec a, sin a, csc a, tan a and cot a, if a =. -1 V3 = COS 2

A: Given query is to find indicated trigonometric functions.

Q: If cos t 3 and t is in the 3rd quadrant, then cot t = 9 V72 V72 3 V72 9 V72 3 3 V72

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Q: Find the exact value of the trigonometric expression given that sin(u) = - 3 where 371/2 < u < 27t,…

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Q: If sin a cos 31° + cos z sin 31° =0.7, then the value of x, where 0° <x <90°, to the nearest whole…

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Q: Find sin(t) and cos(t) for the values of t whose terminal points are shown on the unit circle in the…

A: Concept : Circle whose radius is r and centre at origin ; coordinate of any point on that circle…

Q: V2 cosy = 7, and angle x and angle y are both in the first quadrant. sina = %3D tan(x+y)=

A: We can find the answer as below.

Q: Rewrite cos(t+π/3) in terms of sin(t) and cos(t).

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Q: Find the exact value

A: (a) We know that, coscos-1 x=x Therefore we get, coscos-1-0.5=-0.5

Q: The formula for cos(at B) is cos a cos B - sin a sin B cos a cos B + sin asin B sin a sin B - cos a…

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Q: If cos t =- and t is in the 3nd quadrant, then sin t

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Q: Given that sin(a) = and cos(b) 5 with a %3D 4 sin(a + b) = %3D cos(a - b) = %3D

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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.