Consider two angles A and B on a standard coordinate plane such that: 4 3 sin(A) 5 cos(A) 5 40 sin(B) cos(B) 41 41 Determine the following values: sin(A + B) = %3D cos(A – B)

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

A:

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

A:

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

A: To find the value of c

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

A:

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

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

Q: Plot point L using a negative radius and a positive angle (in radians) in standard position. 10…

A:

Q: Find cos(0) where is the angle between u = cos(8) 1/9 2 (3) and y () 4 v Your last answer was…

A:

Q: a. Determine the exact measure(s) of the angle, where 0 ≤ 0 ≤ 2. 10 sec 0+2=-18 b. sin 20+ cos 0 = 0

A: To find the value of an angle θ where 0≤θ≤2π.

Q: Find the dot product v.w of v = 2i + j, w = i - j. Then find the angle between v and w to the…

A: Given  The vectors are v = 2i + j  and  w = i - j.

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

A:

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: A river is 5 km wide and flows at 4 km/h. Sam has a motorboat, which has a speed of 23 km/h in still…

A:

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 : ||

A:

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: Let V = -î + 3j + 4k and W = 2î – 45 + k, then find cos 0, where 0 is the angle %3D between V+ W and…

A: Given: V⇀=-i^+3j^+4k^W⇀=2i^-4j^+k^

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

A:

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: The related acute angle is the angle formed between the: a) Initial arm and the x-axis b) Initial…

A:

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: 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: 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: Find the exact value using half angle idcntity. COS 22.5° A.) - Jz+rz B-) 2-JZ C.) D.) 2. 2

A: This question can be solved using the formula of cos2A

Q: 10. Use the trigonometric ratio sin A = 0.38 to determine which angle of the triangle is ZA. 1.3 cm…

A:

Q: A 12-foot ladder that is leaning against a wall makes a 75.5° angle with the level ground. Which of…

A:

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: Find the angle. 1 Cose and 0 < 0 < T %3D 2

A: follow the next step

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

A: Consider  y = tan−1 x

Q: real

A:

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

A:

Q: Find the angle between v = 2i - j and w = 3i + 4j.Round to the nearest tenth of a degree.

A: Given vector, v=2i-j and w=3i+4jwe have to find the angle between the given vector. Formula for the…

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

A:

Q: Let a = ci + jand b = 12i + 9j. Find c so that the angle between a and b is. Round your answers to…

A:

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

A:

Q: Explain why there is no angle ? such that sin theta= 2.  If sin theta= y/r = 2, then y would have…

A: We will use polar co-ordinates to solve this

Q: Plot point P using a negative radius and a positive angle (in radians) in standard position. 10…

A:

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

A: Given that a=ci+j and b=3i+4jand angle between these vector isπ6Solution:

Q: Find the angle between v = 2i - j and w = 3i + 4j. Round to the nearest tenth of a degree.

A: Solution: Consider the given vectors are v = 2i - j and w = 3i + 4j or v→= 2, -1 and w → = 3, 4…

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

A: sine rule for triangles is asinα=bsinθ=csin∅

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

A:

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…

A:

Q: A right triangle has side lengths 7, 24, and 25 as shown below. Use these lengths to find cos Y, tan…

A:

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

A:

Q: Let a = ci + j and b = 6i + 8j. Find c so that the angle between a and b is %3D %3D Round your…

A: Solution is written in below steps.

Q: 5. Find the two angles between 0° and 360° that have a) a cosecant of 3 b) a cotangent of –4 c) a…

A: Let angle is θcosec θ = 3sin θ = 13θ = sin-1(13)θ1 = 19.47°θ2 = 180°-19.47° =160.52°

Q: Assume csc (0) = sin (0) = cos (0) = sec (0) = || tan (0) cot(0) = C 15 Compute the other five trig…

A:

Q: Find tan theta if theta  is the angle formed by the line y = mx and the positive x-axis

A: We need to find tanθ for the given equation of line