If sin 0 =, 0<0<5, find the exact value of each of the following. (a) sin (20) (b) cos (20) (c) sin (d) cos z

Q: Find the EXACT expressions for the indicated quantities, given that: cOS 는 /2+v3 sin 를 COs and

A: Here, first we will find will find the values of sin(π/12) and then,to find the value of tan(π/12),…

Q: 6. Find the exact of the following, if the exist. a. sec- 2 C. cot e. cos (arccsc12) b. csc-1 1 d.…

A: 6) a) Given:   sec-12            let sec-12=x then x=π4 b) csc-11    then x=π2

Q: Find sin 2x, cos 2x, and tan 2x from the given information. 8. sin x = - 17 x in Quadrant I

A: Given,            sinx=817 , x in Quadrant I.

Q: given that cos(X)=4/5. X lies in 1st quadrant. Find sin(X)

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Q: If cos(0) : 3 and e is in the 3rd quadrant, find the exact value for sin(0). 4 %3!

A: To find the value of sin.

Q: 4. If cos(x) = -, and x lies in the 3rd quadrant, find tan(). -2 2.

A: Given query is to find the value of indicated function.

Q: Find sin e and cos e if the terminal side of 0 lies along the line y = 3x in QI. sin e - cos 8

A: Given: The equation of the line is, y=3x. The objective is to find the value of sinθ and cosθ.

Q: 1 If sin z = x in quadrant I, then find (without finding x) 9 sin(2a) cos(2a) tan(2r)

A: Solution is given below..

Q: If we make the substitution a =4 tan 0 (for –<0<), then sin 0 is equal to which of the following…

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Q: 7. Find the exact values of: a) sin ¹(1) b) tan-¹(0) 5-¹ (13) 2 COS

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Q: If cos 0= 5/13. Find the numerical value of sin 0.

A: Given: cosθ=513

Q: Find all solutions for tan (x) = 0. %3D 1 5 If sin (x) 0 <y<5, evaluate the expression CoS (x – y).…

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Q: 3. If cos x =- Find the sin x and tan x in the interval 13 XE

A: Given:        cosx=-513  we know that                      cosx=adjacenthypotenuse…

Q: Find the exact value of sin α = 4/5 , a lies in quadrant I, and sin α = 7/25, β lies in quadrant…

A: Given Using trigonometric identity Here, Similarly, Also, And

Q: 3 1 - If sin 0 = - and < 0 < , find the exact value of: (a) cos 0 (b) tan 0 (c) sin (20) (d) cos…

A: sinθ=-13 and π&lt;θ&lt;3π2

Q: sin(x) = 13/23 (in quadrant 1),find cos(2x)=

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Q: Find sin(2x), cos(2x), and tan(2x) from the given information. 8 sin(x) = x in Quadrant I %3D 17…

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Q: Find sin 0 given 2 cos 20 - and < 0 < n. %D 2

A: Given Data: cos2θ=25 The formula for cos2θ is, cos2θ=1-2sin2θ

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: Find the exact value. a. sin-1(sin 0.8) b. sin(sin-1 1.3) cos(cos-1 n) с. d. cos(cos-1 –0.4)

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Q: Q5/ If tan 0 :- find without using table values of: sin 0, cos 0.

A: The given question is taken from trigonometry and calculus so we have to deal with both of the given…

Q: If cos(0) 1 and 0 is in the 3rd quadrant, find the exact value for sin(0). - -

A: By using Pythagoras theorem, We calculate the required trigonometric value.

Q: Express the given quantity in terms of sin x and cos x.

A: Given: The expression sin3π2-x, To determine: The given expression in terms of sinx and cosx,…

Q: 2. Apply the properties of even and odd functions to find the exact va a. sin(-120°) (-#) c. sin…

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Q: sin [ cos-1 (-글)

A: To find the exact value of given expression

Q: 2. Find the exact value a. sin'' -1/2 b. arccos - с. tan-1(tan - )

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Q: cos (α − β);

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Q: If cos(0) = and 0 is in the 2nd quadrant, find the exact value for sin(0). - sin(0) =

A: Using Trigonometry identity,

Q: 3 Find sin 2x, cos 2x, and tan 2.x if cos.x = and x terminates in quadrant II. V10 sin 2x %3D

A: given

Q: 7. Evaluate the expression: a. sin -1 (1/2) = b. arc cos (-

A: “Since you have posted multiple questions, we will solve first question for you. To get remaining…

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

A: You know:

Q: 4. If sin(a) : and tan(a) > 0 Find sin(2a)

A: Given query is to find the value of indicated trigonometric function.

Q: Find sin(2x), cos(2x), and tan(2x) from the given information. sin(x) = // 1₁ x in Quadrant I…

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Q: If cos(0) sin(0) = = 2 and is in the 3rd quadrant, find sin(0) 3 -

A: We can find the answer as below using the formula for sin theta as below.

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: Find the exact value: 4 where 5 sin 0 <0 < n. %3D Find: cos 20

A: topic -  trigonometry function

Q: 1. Find the exact value of each expression: (d) tan-1 tan 3 cos 15л COS 7 (е) (f) cot ( sin V3 +…

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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.

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Q: cos e sin 0 for some real value of 0, and let B= -1 Let A = Consider x - sin 0 cos 0 Then ||(AB)x||…

A: Given,            A=cosθsinθ-sinθcosθ , B=0-1-10 , x=12To find : ABx

Q: Find the values of θ between 0° and 360° such that: sin θ = 0.8

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Q: 16. Find the exact value of: π a) sin¹(tan(- =)) 3 √₂ 2 b) sin(cos-1(-

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Q: 1 If sin x = x in quadrant I, then find (without finding x): 4 sin(2x) %3D cos(2a) = tan(2a)

A: First find the value of cos(x) by using the identity and substituting the numerical value of sin(x).…

Q: If cos(0) 1 and 0 is in the 4th quadrant, find sin(0) %D - sin(0) =

A: Given that cosθ= 1/6 And θ us in 4th quadrant Find sinθ = ?

Q: 18. The value of sin (7 +2) is equal to sin a cos z cos z - sin r

A: 18)

Q: Find the exact value of the expression. V2) -1 cos sin 2.

A: ** As per our guidelines, we are supposed to answer only one question at a time. Since you have…

Q: If sin A =2/3 with A in the interval 0° &lt;= A &lt;= 90°, find       sin A/2

A: sinA=23,   0≤A≤90° By using the identity sin2A+cos2A=1, we get…

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

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Q: Find the exact value for the expression under the given conditions. 5 5 cos (a +ß), sin a = - for a…

A: Out of the six trigonometric ratios , two ratios are positive in 3rd quadrant i.e.tanx and cotx and…

Q: If sin a= 7√2/10 and π/2 (less than) a (less than) π, find the exact value of tan 2a

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