If sin 0 e and 7 < 0 < n then evaluate the following: a) sin 20 b) cos (;)

Q: What is the value of sin 30°cos 60° + cos 30°sin 60°? 0 O A. O B. O C. O D. 1 NIT 2 1 2

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Q: If sino + sin'0 +sin' 0 = 1, then prove that cos 0-4 cos* 0+8cos 0 = 4.

A: sin2 x + cos2 x = 1.

Q: If sinα = −4/5, where α ∈ QIV, and tanβ = 3/2, where β ∈ QIII. Determine the exact value of…

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

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Q: If sin z 8 , x in quadrant I, then find (without finding x) 9 sin(2x) = cos(2x) = tan (2x) =

A: NOTE: Refresh your page if you can't see any equations. . . use the formula

Q: tan(5. x) dy dx Y = Find dy da = Type sin(x) for sin(x), cos(x) for cos(x), and so on. Use x^2 to…

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Q: If sin x = , x in quadrant I, then find (without finding x) 3 sin(2x) cos(2x) tan(2x)

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Q: If {(2 sin e - cos 0) / (cos 0 + sin 0)} = 1, then the value of cot 0 is

A: Introduction :

Q: | 6) If cos 0 and tan 0 is negative, find sin 0 and 17 cot 0.

A: To find the value of the following,

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: If csc(x) = 2, for 90 degrees < x < 180 degrees, then  sin(x/2) = ?? cos (x/2) = ?? tan (x/2) =…

A: Answer and explanation is given below..

Q: e or sin 1 2 and tan 2 cos .2

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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: 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: If COS 0 = √√3 2 ო sino = 9=1/1/21 FIN O sin0 = 1/14 2 O sin0 ine=-2/2 O sine= 11/13 2 == and < 0<-…

A: topic- trigonometric ratios

Q: If csc(x) = 6, for 90° <x < 180°, then %3D sin ) %3D CoS 2 %3D tan 82

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Q: If tan(0) Hint = sin(0) = cos(0) = sec (0) = 15 - 8 ) 0 ≤0 ≤ 90°, then the exact value of

A: Here we have to find the other trignometric function.

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: If sin z + cos I 2, then the value of sin" r+ cos" z will be-

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Q: Find sin n() = CUS (4) - tan() sin(), cos(+), 7 sin(x) = 25 sin = and tan n() 0° < x < 90° from the…

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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: 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 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 sin 0 = and cos 0 = 4 what is the tan 0?

A: In this question, we need to find tan ?.

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: 1-cos(7A) Which is the simplified form of the expression sin(7A) O cot (플) CoS O no correct answer…

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Q: If sin B = B in QI , find with B Cos 3– 2/2 Cos 3 + 3 COS 6 3- 22 6 cos 3 - 212 cos 3 3 + 3 CoS

A: Given that, sinB=13 Find the value of cosB2. We know the trigonometric formula's:…

Q: If 0 = -2pi/3 then, what is sin(0) and cos(0)??

A: To find the given angles

Q: Given that tan (20 + = 5, where n < 20 < .Find the exact value 2 of sin 0.

A: We will find two values of thetha but we will choose according to condition

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: 3) Given that tan(0) = - and cos(0) > 0, find the exact values of sin(0), cot(t), and csc(0).

A: Given :   To find :

Q: B. If sin e=% , find 1. Sin 20 2 Cos 20 3. Tan 20

A: Given: sin θ=34......(1) The expression for the sine trigonometric ratio is given as sin…

Q: Find the exact value of sin α = 5/6, π/2 &lt; α  &lt; π, and tan β = 3/7, π &lt; β &lt; 3π/2. .under…

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Q: Find sin(2x), cos(2x), and tan(2x) from the given information. tan(x) = 1 cos(x) > 0

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

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Q: If tan 0 = V3 and 0 < 0 < <o< 플 then, Select one: O sin0 = - 10 O sin 0 = - cos 0 = cos e

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Q: find the exact values of sin(u/2), cos(u/2) and tan (u/2)

A: Given value -sinu = 35We know,sin2u + cos2u = 1352+cos2u = 1cos2u = 1-925cos2u = 25-925cos2u =…

Q: 12 If tan(@) 0Sos, then %3D sin(0) equals cos(0) equals sec(A) eguals

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Q: Given that tan (0) = -and sin(0) > 0 , find the exact values of cos(0) and csc(0). %3D

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Q: if sin 70°=cos x where x is the measure of an acute angle then x =

A: By using trignometric formula we can easily solve this given problem Detailed solution given below

Q: Given that sinθ= 3/5 and cos(θ)<0 that , what is the exact value of sec(θ)

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Q: Suppose v is in the interval 0, with tan v = 11. Find sin v. 2 Enter the exact answer. sin v = ?…

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Q: and sin(0) < 0, what is sin(0)? 13 If cos 0

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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=…

Q: If tan 0+ tan'0=1, then Find the value of cos*0 + cos 0

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Q: 5. If 0° < 0 < 90° and tan 6 = find sin 6 using trigonometric identities.

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Fundamentals of Trigonometric Identities

Trigonometric Identities are the equalities that involve trigonometry functions and hold for all the values of variables given in the equation.