If a, B, y, ð are the smallest positive angles in ascending order of magnitude which have their sines equal to the positive quantity A, then prove that Y a 4 sin+ 3sin +2sin+ sin- = 21-A. 2 2 2

Q: If v x w = (-1, 4, 0) and v · w = 4, find tan(0), where 0 is the angle between v and w. tan(0) =

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Q: (4) Find all the angles frem o to 360° which satisfy the equation COS X %3D

A: We have to find out the angle

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Q: assume that all the given angles are in simplest form, so that if A is in QIV you may assume that…

A: Given  where A is in quadrant II

Q: 9. Show that the area of triangle ABC is given by (1/2)ab sin C = (1/2)bc sin A = (1/2)ca sin B . C…

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Q: Use Figure to find all angles between 0 and 2π satisfying the given condition. cosθ = 1/2

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Q: (1+cot 8) de 5. sin eJ4 - cote

A: ∫1+cotθsin2θ4-cot2θdθLet u=cotθ.=∫…

Q: Given that 4 cos z - 2 sin z= a cos 2x + b, the values of a = %3D and ||

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Q: If w=f(a,b,c)=cos(ab)sin(b)+c, what is at ( 2'3 5,6 )?

A: Given function is  w=fa,b,c=cos(ab)sin(b)+c

Q: Suppose v w = 5 and ||0 x w 3, and the angle between õ and w is 0. Find (a) tan 0 %3D (b) 0 = (in…

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Q: Find all angles between 0 and 277 satisfying the condition cosx = Separate your answers with commas.

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Q: Use the information given about the angle 0, 0≤0≤2л, to find the exact value of cos cos () = 3 5'…

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Q: = Prove, for any angle x, Cos (sin¯' (x)) = /1 – x². %3|

A: Let sin-1x=θ Then, x=sinθ As sinθ=Perpenicular Hypotenuse=x1

Q: Find

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Q: Find all angles v between −π and π that satisfy  6 cos(v)2+6 √ 2 * cos(v)= −3 .

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Q: 5 <. If the angle a (measured in radians) is such that 2π <a<, then it turns out that O (A) _V2 <…

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Q: If A, B and C are angles of a triangle, prove that sin A = sin (B + C) and hence that          sin…

A: Given A, B and C are the angles of a triangle. First we have to prove that sinA=sinB+C. We know that…

Q: If i x w = 3i+ 2j – between i and w, then k, and i· w = 4, and 0 is the angle (a) tan 0 (b) 0 : ||

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Q: Let a = ci + jand b = 3i + 4j. Find c so that the angle between a and b is %3D Round your answers to…

A: Given a = ci + j and b = 3i + 4j. The angle between a and b is π6. We have to find the value of c.

Q: 17 of 17 Consider angles A, B, and C such that cos Acos 217", tan Btan 298°, sin C sin 7° where 0°…

A: Given;  CosA=Cos(217) tanB=tan(298) SinC=Sin(7).

Q: Use the information given about the angle θ,0 ≤ θ &lt;2π, to find the exact value of (a) sin( 2θ )…

A: We have given   sinθ=-33 and 3π2&lt;θ&lt;2π cosθ=1-sin2θ=1--332=1-13=23 cosθ will be positive since…

Q: Find the angle 0 between w = cos 플 i+ sin푸 7 cos플 i + sin and %3D

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Q: Let ( A) D = and BD= . Find the angle between BD and A D* O [cos] 2/N(30(21)) O [cos] (-1)…

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Q: Show that a formula for the altitude h from a vertex to theopposite side a of a triangle is

A: Given: h=asinB sinCsinA

Q: Let sin(30°) Enter an angle measure (3), in degrees, for cos(B) 1/2

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Q: What is the smallest positive degree angle measure equivalent to sin − 1 ⁡ ( 0.391 ) ?

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Q: Match each angle on the left with its corresponding reference angle on the right. Unit Circle (cos,…

A: To match the given angles with the given reference angle.

Q: Use the information given about the angle θ,0 ≤ θ &lt;2π, to find the exact value of (a) sin( 2θ )…

A: If an angle lies in the first quadrant then all trigonometric functions of that angle are…

Q: If A is the dgree measure of an acutre angle and sin A =0.8, then cos(90-A) = a) 0.2 b) 0.4 c) 0.5…

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Q: If the angle 0 is in standard position and P(x, y) is a point on the terminal side of 0, andr is the…

A: We have to find the trigonometric ratios, reference angles, values of the trigonometric functions…

Q: If sin a and cos a3D 13 12 what is the value of sec. 13 %3D O 13/2 O 13/2 17 O 17/2 26 O 7/2 26

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Q: Use Figure to find all angles between 0 and 2π satisfying the given condition. tanθ = 1

A: The given equation tanθ=1 is a trigonometric function; hence, trigonometric identities help to find…

Q: Show that the area of triangle ABC is given by (1/2)ab sin C = (1/2)bc sin A = (1/ 2)ca sin B.

A: Consider the triangle given:

Q: Suppose i· w 7 and ||i x w|| = 4, and the angle between v and w is 0. Find (a) tan 0 = (b) 0 =

A: Given that: v.w = 7 for dot product we know that: v.w = |v|*|w|*cos  |v|*|w|*cos  = 7 Given that:…

Q: Given that z = 6(cos 90° + i sin 90°), then the following is true. z3 = (cos °+i sin + i =D+D; or…

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Q: If sin D cos E, then 2D and ZE must be angles. %3D A adjacent A. complementary B. C. congruent…

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Q: 1 In right triangle ABC, mZA = 30° and mZB = 90°. Which of the following are true? I. sin(A) =…

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Q: If v x w = (2, -2,5) and v · w = 4, find tan(0), where 0 is the angle between v and w. tan(0) =

A: Topic- Dot and Cross product of Vectors

Q: If a,ß are acute angles such 8 4 and tan ß =, find 5 that cos a = a. cos(a-ß) a b. sin 2

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Q: Suppose 0 is an angle such that cos(0) %3D 3 If 0 < 0 < T, then cos and sin 2 If T < 0 < 27T, then…

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Q: Find all angles between 0 and 27 satisfying the condition Cos x = Separate your answers with commas.

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Q: If sin B = 1 E with B in QIlI , find B sin В sin 3 + 22 = 2 5+2/6 sin 10 В sin 3 + 12 5+26 sin 10 В…

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Q: Use Figure 22 to find all angles between 0 and 2π satisfying the given conditions.

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Q: Use the definitions of sin(z) and cos(z) given in Lecture 13 at the 13:30 mark to prove that sin z+-…

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Q: Consider angles A, B, and C such that cos A = cos 217°, tan B = tan 298°, sin C = sin 7 where 0° A≤…

A: Here we have cosA=cos217°, tanB=tan298° and sinC=sin7° Here 0°≤A≤360°, 0°≤B≤360°,0°≤C≤360°. Suppose…

Q: 3. Given that sin 0 = – and 0 lies in Quadrant II, then sec 0 = V5 8 5/59 59 5/59 8 8/59 59 8/3 5 O…

A: We use Trigonometry ratios

Q: If v x w = 67 - 7j + 9k, and v.w = 7, find tan 0 where 0 is the angle between v and w. tan 0 =

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Q: For angles u and v in quadrant II, if  sin u =3/5 and cos v= -  5/13 ,  find the exact value of…

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