Q: If each of a, ß and y is a positive acute angle such that sin (a +B-7)=.c B-r)=.cos (B+y-a)= and tan (7 +a-B) = 1, Find the value of a,ß and y.

Q: Complete the sentence below. For any angle in standard position, let P = (x,y) be the point on the…

A: Given- Let P=(x, y) be the point on the terminal side of θ that is also on the circle x2+y2=r2. To…

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: Let a = ci + j and b = 12i + 16j. Find c so that the angle between a and bis- Round your answers to…

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

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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: - 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: B- Find the angle (in radian) between the planes 2x + 2y-z 3 and x + 2y +z 2.

A: The planes 2x+2y-z=3 and x+2y+z=2

Q: Suppose that y is an angle with sin y = 4/7 and y is not in the first quadrant. What is the exact…

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Q: Let a = ci + j andb = 7i + 24j. Find c so that the angle between a and b is. Round your answers to…

A: The objective of the question is evaluate the value of "c" for the given vectors.

Q: f sin(x) = tan(y) for acute angles x and y, how are the angles related? O complementary O…

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Q: Given that sec(θ)>0 and sin(θ)<0, in which quadrant does θ lie?

A: We know that all trigonometric ratios are positive in 1st quadrant .

Q: If g(r,s,t) = et sin(st), find dsdr2*

A: Given Data: Function: gr, s, t=ertsinst   The triple partial derivative can be rewritten as,…

Q: 27. If sin 0: (a) I W|F 1 , then the reference angle for is: 2 (b) - 7 (c) R|M (d) // (e) none of…

A: The value of sin(-30) is -1/2

Q: Given sin (x? +y) =x , what is dz

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Q: If e is an angle in the third quadrant in standard position, and tan e = 0.25, determine sin 0. %3D…

A: We have to find out

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: 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: 3) d - Find the values of r, sin Θ, cos Θ, tan Θand Θ in standard position if the terminal side of…

A: The given point -6,14 lie in the second  coordinate .In the 2 coordinate tanθ and cotθ are positive…

Q: Let ZD be an acute angle such that cos D = 0.33. Use a calculator to approximate the m m/D

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Q: If å = (2,2,2), b = 2 and tan 0 = v3,(where 0 is the angle %3D %3D %3D between a and b) then the…

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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: 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 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: Suppose - w = 5 and ||i x u|| = 2, and the angle between i and w is 0. Find %3| (a) tan 0 (b) e

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Q: 7 Use the right triangle and the table to find the measure of angle x Sine Cosine Tangent 8. 30 2.…

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

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Q: Find the angle between two lines having slopes of 1, and 1/2 respectively. (A) sin (B cos (c) sec D…

A: In this question, we need to find the angle between two lines having slopes 1 and 1/2 respectively.

Q: Consider this right triangle. 25 R. 24 Select the ratio equivalent to cos(S). A. 25 7. 24 B. 24 25…

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Q: ; Suppose v · w = 8 and ||3 x w|| = 2, and the angle between v and w is 0. Find (a) tan 0 (b) 0 =

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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: or the indicated principal angle. Then state t le. (s-

A: First is ( +,-) principle angle second is (-,+) negative anglet Third is (-,-) fourth is (+,-)

Q: If ở x w = i- j+ k, and v · w = 4, and 0 is the angle between v and w, then (a) tan 0 (b) ө

A: (a)v×w =i-j+k|v×w| =12+(-1)2+12=3|v×w| =3|v×w| =|v| |w| sinθ →(1)now,v.w =|v| |w| cosθ →(2)(1)(2)⇒…

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: Use Definition II to explain why, for any acute angle u, it is impossible for sin u = 2.

A: Given:  sin u=2Since sine function is bounded between…

Q: 1 and which is in the interval [0, n] is y = 2 The angle y whose cosine is- radians.

A: Given, cos (y)=-12  where 0≤y≤πEvaluate y

Q: Let a = ci +j and b 8i + 6j. Find c so that the angle between a and b is Round your answers to four…

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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: ) * a) Complete each equation. sin 0 = cos 0 = 大 tan 0 = k b) If k = 9.4 and f = 12.7, what is the…

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Q: Consider a right triangle with a side of length x opposite angle A, a side of length y opposite…

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Q: Suppose that y is an angle with secy = and y is not in the first quadrant. Compute the exact value…

A: Given trigonometric function is secγ=97 We know that cosθ=1secθ So, we have cosγ=79