1 Find sin (a), given that cos (a) and sin (a) <0. %3D sin (a) = (Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression.)

Q: Find the exact value of the expression. sin 4 12 sin 4 12 CoS Cos 1 O A. 4 V3 О в. 1 О с. 2 O D. 1

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Q: 7. Find sin , given that sin 0 =², 3 and 0 terminates in 270° < 0 < 360°.

A: Given 270&lt;θ&lt;360. so, given that θ is in the 4th quadrant. There cos is positive

Q: 2. Find the value of e a. 2 sin2 0 - sin 0 - 1 = 0

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Q: if x is in III, and cos x= - 8/17. Determine the exact value of sin 2x and cos 2x

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Q: 13. What is the correct equation to solve for x? 13 45 O a) tan (45) = x/13 O b) cos (45) = x/13 O…

A: As per our guidelines we are suppose to solve only first question if the multiple questions are…

Q: 9T Find the exact value of sin( ) 4 - /3. O 1 1/2

A: We can make it easier for you.

Q: 1. What is the exact value of sin 75°? O -V6-V2 4 O vô-v2 4 O v2-V6 4 O V2+v6 4

A: We have to find the value

Q: 1.19. Evaluate the expression. a) sin [sin-1 (1) ] b) sec [sin-1 (1) ] c) sin [arctan ]

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Q: 1. Determine solutions to sin 2x = , x€ [0, 2x) 2x sin() 2x 0.73 %3D %3D accurate to 2 decimal…

A: Explained below

Q: sin 46° O 0.90 O 0.72 O 0.83 O 0.65 Use a calculator to find the approximate value of the expression…

A: To find:  1. Sin(46°)               2.Cos(1) Expression to be rounded in two decimal places. in…

Q: 2.1 2: If Sin20= 3 90° ≤20≤360°. Determine the value of sin without using a calculator. 5' Consider:…

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Q: 2) What is the cos Z? Express fractions in the lowest terms. NO DECIMALS 40 Y 9. 41 Your answer 3)…

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Q: Suppose that sin(a) = 4/8 and cos(b) =3/8 define in the first quadrant, determine sin(a+b). (round…

A: We have the relation,                cos2x+sin2x=1   If sina=48= 12                 cosa=1-sin2a…

Q: ₂00 (-1)* 2k+1 How were sin(x) = Σ₂ k=0 (2k+1)!* ¹ values generated from the Σ(x)"equation? n! n=0

A: Differentiating again and again then find the recurrence relation of the nth derivative at 0.

Q: 4 3x If tan 0 =, x<0<, find the exact value of each of the following. (a) sin (20) (b) cos (20) (c)…

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Q: Suppose π/2 < θ < π and sin θ = 3/ 8 . Evaluate cos θ in exact fraction?

A: Here in π2&lt;θ&lt;π (Second quadrant), cosθ will be negative. As the sign system for trigonometric…

Q: a. Apply the formula for cos (A – B) to the identity sin 0 = - 0) to obtain the addition formula for…

A: a) cosA-B=cosAcosB+sinAsinBPut, A=π2, B=θThen,  cosπ2-θ=cosπ2cosθ+sinπ2sinθ…

Q: tan (a-b) tan a=3/4, with a being in q 3 sin b= 3/5 with b being in q 2   give the exact answer…

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Q: 15 36 (a) sin 2t (b) cos 2t

A: Definition used -                             sin 2t = 2sint cost                             cos…

Q: Let sin A =-24/25 with A in Q3 and find the following sin 2A

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Q: 1) Using the formula: cos(x + y) = cos x cos y – sin x sin y, prove in steps 1+cos 2 x that: cos? x…

A: In the question it is asked to calculate the solution of cos2x=1+cos2x2 using the formula cos(x+…

Q: It can be shown by induction that the nth derivative of the sine function is given by the formula d"…

A: Givendndxn(sin x)=-1n-12cos xn odd(-1)n2sin xn evenTo findwhether the given formula is correctTo…

Q: Evaluate sin 0 within AABC. 7 B 25 24 A sin 0 Enter your next step here

A: A triangle is a polygon with three sides. A right triangle is a triangle with one of its angle being…

Q: 9. Suppose that A is such that sin A = 0 and cos A = -1 Find the exact values for each of the…

A: Solution

Q: 6. В 11 A In right triangle ABC above, what is sin A? sin(A) =

A: We have given a right angle triangle ABC sinA=perpendicular/hupotenuse  sinA=BCAB sinA=911

Q: 6) Express Cos @ - 2 sin o in the form of R COs co+x). where R>0 and 0° <x < 90°. Hence, solve the…

A: Given:Here given that cosθ-2sinθwe have to express cosθ-2sinθ in the form of R…

Q: Find the exact value of cos(α − β) if α and β both lie in the first quadrant, and sin α = 12/13 and…

A: Since you have asked multiple questions in a single request, we would be answering only the first…

Q: 1 Suppose sin a with a in quadrant I, and cos 3 quadrant II. Find the exact value of cos(a-B).…

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Q: uppose that sin(a) = 2/8 and cos(b) =1/9 define in the first quadrant, determine cos(a-b). (round to…

A: NOTE: Refresh your page if you can't see any equations. . here we have

Q: 8. IT If sin 0 = - 5,0<0<5, find the exact value of each of the following. (a) sin (20) (b) cos (20)…

A: Hello. Since your question has multiple sub-parts, we will solve first three sub-parts for you. If…

Q: Suppose that sin(a) = 4/5 and cos(b) =4/7 define in the first quadrant, determine tan(a+b). (round…

A: Given, sin(a) = 4/5 ------equation 1 cos(b) =4/7 ------equation 2

Q: 1. Use an identity to find the value of cos (0+ 90°). sin 0 cos 0 O - cos 0 O - sin e

A: We have to find the following

Q: prove the identity: 4 sin A cos^3A- 4 sin ^3A cos A

A: The first fill in the blank is wrong.

Q: 31-35. Verify that sin 90° is indeed equal to 1 by using the expression sin (A + B).

A: We have to verify that sin 90° is indeed equal to 1 by using the expression sin(A+B)

Q: Determine solutions to sin 2x , xE [0, 2x] 2x sin() %3D accurate to 2 decimal places. 2x 0.73 X0.36…

A: 1. According to question,Given equation,sin 2x = 23,x∈0, 2π

Q: Question in Image.

A: First, we write 4pi/3 using its reference angle. Since 4pi/3 is in the third quadrant, there sin is…

Q: 6. Choose the best answer. cos a and sin 3 /3 find cos 2 If sin - x 2 6 V3 O 1 O v2

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Q: 4. Use Gamma function to evaluate the integral: sin? (40) cos (20)d0.

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Q: Suppose that sin(a) = 3/7 and cos(b) =2/8 define in the first quadrant, determine cos(a+b). (round…

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Q: 5.3) Suppose that sin(a) = 4/5 and cos(b) =1/6 define in the first quadrant, determine sin(a-b).…

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Q: #14. FIND THE EXACT VALUE A. (a) sin (2/3) 13 2

A: Since you have asked multiple questions in a single request, we would be answering only the first…

Q: 2. Find all possible solutions to the equation 2 cos 0 + v2 = 0. 0 in radians and let k represent…

A: To Determine: find all possible solutions to the equation .Express θ in radians and let k represent…

Q: 3. (a) Use the substitution x = 2 tan 0(-1/2 <0 < T/2) in the expression T/V4+x2 and show the result…

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Q: 2. Find all possible solutions to the equation 2 cos 0 + v2 = 0. O in radians and let k represent…

A: The given trignometric equation is2cosθ+2 =0

Q: S(x) - e 05 (2 cos 2.x+3sin 2.x) 7. , evaluated at x 1 rad

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Q: /21 find the value of 5 3 - tan 0. cos 0 :15. Given that cos 0 =

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Q: 9. Find all values of x in the interval [0,360°) that satisfy each equation. Round approximate…

A: a) 2sinx=cosxsinxcosx=12tanx=12x=tan-112x=26.6°, 180°+26.6°x=26.6°, 206.6°

Q: 1. Find the values of sin 20, cos 20 and tan 20, given: 9 3n a. tan 0 if n<0 < 40 2 3n b. sin 0 if <…

A: Giventanθ=940 ifπ&lt;θ&lt;3π2sinθ=-12 if 3π2&lt;θ&lt;2π.To findsin2θ, cos2 and tanθ

Q: If sin A = 4/5 with A in QII, and sin B = -3/5 with B in QIII, find sin A/2 and cos B/2

A: It is given that sin A=45, where A lies in the second quadrant and cos B=-35 where B lies in the…