If A(a, b), B(a + r cos 0 , b + r sin 0) and C(a +r cos B,b +r sin ß) are the corner points equilateral triangle, then the correct answer is...

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: ABC is a right angled triangle with AB = 4 units and BC = 3 units Prove that for the angle marked x°…

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Q: solve for the angle u, where 0 … u … 2π cos 2θ + cosθ = 0

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Q: Suppose v. w = 6 and ||7× w|| = 4, and the angle between ỹ and w is 0. Find (a) tan 0 = (b) Ө —

A: v · w= |v| × |w| × cos(θ) =6 v × w = |v| |w| sin(θ) =4

Q: Find an angle e between 180° and 270° which satisfies the equation cos 0 = 2

A: We know that cos is negative in 1st 2nd and 3rd quadrant.  cos(45degree)= 1/(root2)

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: - In the acute- angled triangle OPQ, the altitude OR makes angles A and B with OP and OQ. Show by…

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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: 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: Given z = 4(cos 35° + i sin 35°), find zº. Write your answer in rectangular form.

A: Given: z=4(cos 35°+i sin 35°)  To find: z6

Q: If it is known that sin a = and < a <n and cos ß = -- and <B < , find the exact %3D value of cos(a +…

A: cos2 α+sin2 α=1  Substitute sin α=13 in the above trigonometric identity: cos2 α+132=1 cos2…

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: For any angle 0 in standard position, let P = (x, y) be the point on the terminal side of 0 that is…

A: Given : For any angle θ in standard position, let P = ( x, y) be the point on the terminal side of θ…

Q: Use the information given about the angle 0, 0≤0≤2л, to find the exact value of sin cos 0 = 1 4 csc…

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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: Consider the length h of the perpendicular from point B to side b in the given triangle. Show that b…

A: From the given figure, let the perpendicular from point B meets the side AC at D.

Q: If a = (1,1,1), b| = 2 and tan 0 = (where 0 is the angle %3D %3D between å and b) then the magnitude…

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Q: At what angles between 0 and will one leaf of r = 4 sin 20 and the circle r = 2 will intersect? 5T…

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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: - In the acute- angled triangle OPQ, the altitude OR makes angles A and B with OP and OQ. Show by…

A: Our objective is to prove  p. q. Sin(A+B) =q.r.SinA+ p.r.Sin B

Q: If u(t) = (sin(7t), cos(7t), t) and v(t) = (t, cos(7t), sin(7t)), use Formula 5 of this theorem to…

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Q: Consider two angles A and B on a standard coordinate plane such that: 4 3 sin(A) 5 cos(A) 5 40…

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Q: Find all angles, 0° < 0 < 360°, that satisfy the equation below, to the nearest 1oth of a degree.…

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Q: the law of sine for plane triangles given by All of the above is true .I O sina/a sine/b sinø/c .I O…

A: In this question we have to choose the law of sine of plane triangles

Q: solve for the angle u, where 0 … u … 2π sin 2θ - cos θ = 0

A: To calculate the angle u

Q: 25x Using the compound angle formulae equals sin 12 a) sin 3 O b) sin 3 c) sin 3 4 O d) sin +-

A: Sin(25π/12) = Sin(2π + π/12) = Sin(π/12)

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: 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: If u= e" cos0 cos (r sin 6) then find, du and ar

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Q: For what angles O between 0° and 360° is v3 cos 0 = Sin ĕ true?

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Q: If y = tan-1 x, then y will be an angle between ____ and ____.

A: Consider  y = tan−1 x

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

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Q: If e be a positive acute angle satisfying cos 0+ cos 0= 1 then the value of tan? e+ tan e is 3 2 OA.…

A: As per company's guidelines, we are supposed to solve the first question for you, kindly re-post the…

Q: Find sin u and cos u if the given point lies on the terminal side of u.     (3,-4)

A: R=x2+y2sin u= y/Rcos u=x/R

Q: sin B  =  ​       cos A  =  ​       (b)    sin A, cos B sin A

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Q: Consider two angles A and B on a standard coordinate plane such that: 60 11 sin(A) cos(A) 61 61 24 7…

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Q: For an angle <0 < T, f ind 0 for sin( ) + csc( ) + cos ( ) = 3

A: It is trigonometric value.

Q: 1. If the angle 0 is in standard position and P(x, y) is a point on the terminal side of 0, and r is…

A: Draw the diagram according to the question.

Q: 3 5' 2 < x <T, find the exact value for each trig half-angle. Given sin x = sin (클) ㅋ Cos

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Q: Assume that θ is a positive acute angle. Given: cos⁡θ=60/61 Find: cos⁡2θ

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Q: Find all angles, 0° < 0 < 360°, that satisfy the equation below, to the nearest 1oth of a degree. 2…

A: We will standard formulae of trigonometric ratio.

Q: 2. Given that csc A = v2, A in QI, and sec B V5, sin B <0, find: a. cos (A- B) b. tan (A- B) %3D

A: We are authorized to answer one question at a time, since you have not mentioned which question you…

Q: In any triangle ABC prove that a sin (B-C) + b sin ( C - A) + c sin ( A - B) = 0

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Q: 4. Apply half-angle formula to find b. sin 15° 5m C. COS a. cos 15°

A: The half-angle formulas are: sinθ2=±1-cosθ2cosθ2=±1+cosθ2   We know that the sine function is…

Q: In any triangle ABC, prove that a sin (B – C) + b sin (C – A) + c sin (A – B) = 0.

A: In any triangle ABC, prove that a sin (B – C) + b sin (C – A) + c sin (A – B) = 0

Q: Given P(A) = (4, -3), what is the value of of cos %3D A?

A: Given that P(A)= (4,-3), Our Aim is to find the value of cos (A) = ?

Q: Consider the length h of the perpendicular from point B to side b in the given triangle. Show that

A: The triangle ABC is  We have to prove   ,where  the length h of the perpendicular from point B to…

Q: Drag the label for the length of the sides of the triangle shown that would satisfy the following…

A: Given that cosB=941  and tanC=940we have to find AB, AC and BC.

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

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