The angle between n and t is given by n.t, m Ø=cosalt,· It, m Ø=cos(n.ti .IIO n.ti Ø=sin( |n||ti ) .IIIO

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: 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 sin D = cos E, then z D and z E must be angles. 7. O A adjacent B. complementary C. congruent O…

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

A: For any angle θ in standard position P(x,y) be the point on the terminal side of θ that is also on…

Q: Show that the area of triangle

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Q: 25 7 R 24 T

A: Given right triangle.

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: let U =5i +12 j and V= -4ij and find the follawing. what is the angle between D and V to the a…

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Q: Use the information given about the angle 0, 0≤0 ≤ 2л, to find the exact value of tan (20). 3π 2 tan…

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Q: Use the information given about the angles and to find the exact value of: (a) sin(α + β) (b)cos (α…

A: Trigonometric formulas help to find the values of the given expressions. Formulas for the sine,…

Q: Use the information given about the angles and to find the exact value of: (a) sin(α + β) (b)cos (α…

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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: Use the information given about the angles and to find the exact value of: (a) sin(α + β) (b)cos (α…

A: Disclaimer: Since the question contains multiple parts, we are answering first three. In case any…

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

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

Q: Consider the angle 0 on a standard coordinate plane such that: cot(0)=6; sec(e)<0, What is the exact…

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

Q: Evaluate S cot? (r) sec (x) dæ

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Q: Use the information given about the angle 0, 0<0<2r, to find the exact value of sin 2 12 3n tan 0 ,…

A: we have to find the following

Q: In this triangles, which ratio represents: CosR A. 5/13 B. 12/13 C. 12/5 D. 5/12 TanR A. 12/5 B.…

A: We  have to find value of cosR and tanR

Q: If i x ũ = i- 3j – 4k, and i · w = 3, and 0 is the angle between õ and u, then (a) tan 0 = (b) ө

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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: Let a be angle such that cos a = -- and sin a > 0. What is the exact value of sin a?

A: Only 2nd quadrant is the only region where cosα is -ve and sinα is +ve

Q: Find p such that angle between u = 3 and v = is 60° 4 р a. p= ±3 Ob. p=±- V5 O C None of these Od. 4…

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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: For the figures pictured to the right, what relationship must pe true in order to prove ARST = ALNE…

A: Here it is given that ,  ∆RST≅∆LNE by ASA

Q: Let a = ci + j andb = 8i + 15j. Find e so that the angle between a and b is. Round your answers to…

A: Consider the dot product of two vectors

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: b) Calculate the angles between 0° s 0 s 360° for the following equations. Kira sudut-sudut antara…

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Q: Which statement is accurate for the right triangle shown below? 50 17 a 47 O sec(a) = 0.94 %3D O…

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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: At which angle is cos Ⓒ =-1? 0 O 2 OTT

A: Given query is to find measure of the angle.

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

A: Consider a triangle ABC having side lengths AB=c, BC=a and CA=b respectively.

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: Given that ADEF is a right triangle and that ZE= 90° with sides DE = 3, DF = 5, and FE = 4, which…

A: The sine of an angle is given to be sin(∅) =(side opposite to angle ∅)/(hypotenuse of the right…

Q: 1. Which statement is accurate for the right triangle shown below? 50 17 47 O sec(8) = 0.34 %3D O…

A: Using angle rule

Q: 5. Which statement is accurate for the right triangle shown below? 50 17 47 O csc(a) = 0.94 %3D O…

A: SOLUTION-

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: Which statement is accurate for the right triangle shown below? 50 le 17 47 O sec(e) = 0.94 %3D O…

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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: 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. In ARST, RS 1 TS and sin R =. Which of the following is the length of RT if ST = 48? 4 (1) 36 (3)…

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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: To evaluate Je ?" sin(e²^) cos(e²«) dx, we let u=e A True B) False

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Q: In APQR, sin Q = , sin R = , and q = 1 15. 3' 5' Find the side length r. Select the correct answer…

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Q: 4. Which statement is accurate for the right triangle shown below? 50 17 a 47 O cot(a) = 0.36 O…

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Q: K Y W

A: we know that in two triangles if angle1&gt;angle2 then angle opposite to bigger side will be bigger…

Q: Which of the following is true for angle ? Select all that apply. A: sin(0) 0 C: Cos(6) 0 E:…

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Q: Ifr' = bx, find cos a in cartesian coordinates, where a is the angle between r and r'. %3D If q is…

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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: Use the information given about the angle 0, 0<0<2n, to find the exact value of sin (20). 20 3n cos…

A: We will use simple relation between Sin and Cosine. Also the exact value of  Sin( 2θ ) is depends on…

Q: On your written working, show that for any angles A and B, the following identity holds sin A cos B…

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Fundamentals of Trigonometric Identities

Trigonometric Identities are the equalities that involve trigonometry functions and hold for all the values of variables given in the equation.