Find the angle 0 between v= cos 45°i+ sin45°j and w = cos 120°i+ sin 120°j. If necessary, round to the nearest tenth of a degree.

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

A: Consider the given equation as tanθ=12

Q: Find the values of cos t and sin t, where t is the radian measure of the angle shown.

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Q: Find the angle 0 between v= 8i- 6j and w=-12i- 5j. If necessary, round to the nearest tenth of a…

A: Given  v=8i-6j w=-12i-5j

Q: Use the information given about the angle 0, 00 (a) sin (20) (b) cos (20) (c) sin (d) cos (e) tan…

A: Trigonometric Function:        Trigonometric function are real functions which relate an angle of…

Q: Let θ be an angle in standard position. Name the quadrant, tan θ > 0 and cos θ < 0, in which θ…

A: That is, Tangent function is positive and cosine function is negative.

Q: Use the trigonometric ratio sin A 0.38 to determine which angle of the triangle is ZA. (GSRT.7) 1.2…

A: The hypotenuse of the given right angled triangle is:  1.3

Q: Use the given conditions to find the exact values of sin(2u), cos(2u), and tan(2u) using the…

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Q: For positive acute angles A and B, it is known that cos  A = 40/41 and tan B=5/12. Find the value of…

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Q: Use the given conditions to find the exact values of sin(2u), cos(2u), and tan(2u) using the…

A: Cosu =4/5 We can calculate Sinu by using Pythagoras theorem Hence sinu = 3/5

Q: Find sin 8, cos 0, and tan 0 for the angle = -135°.

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Q: Use the half-angle formulas to determine the exact values of the sine, cosine, and tangent of the…

A: Topic - trigonometric Identities  Using identities Sin2 (x)= (1-cos 2x)/2 Cos 2 (x)= (1+cos 2x)/2…

Q: . Show that for a small angle 0, measured in radians, sin 30(1– cos 20) z 60³ .

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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: Use the information given about the angle 8, sec 0=4, csc 0<0, 0≤0<2, to find the exact values of…

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Q: Use the information given about the angle 0, 0 <0 < 2t, to find the exact value of sin(20) and cos 2…

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Q: Let θ be an acute angle such that sec θ = 5 3 . Find the exact value of (a) csc θ (b) tan θ

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Q: Find the quadrant in which an angle 0 lies, if sin(0) > 0 and tan(0) < 0. i) I ii) II iii) III iv)…

A: We can solve the problem by finding the quadrant in which theta lies.

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

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Q: find the angle θ between v and w. If necessary, round to the nearest tenth of a degree. v = cos…

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Q: If sin a (a) = 0.633 and sin B = 0.861 with both angles' terminal rays in Quadrant-l, find the…

A: step1:we have given thatsin α=0.633sin β=0.861we know thatsin2 α+cos2 α=1⇒cos2 α=1-sin2 α⇒cos2…

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

A: Given v=-3i+2j &amp; w=4i-j We have to find angle between given two vectors. Solution: Let angle…

Q: In a right triangle ABC with angle A equal to 90°, find angle B and C so that sin(B) = cos(B).

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Q: A box has dimensions to inches 2"x 3" x 4" determine the angle theta formed by the diagonal 2" x 3"…

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Q: Find the angle between u=2i+j and v=-4i+10j in degrees as a decimal rounded to the nearest hundredth

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

Q: Find angle A (to the nearest 0.1 degrees) if COS A = 0.5432.

A: COS A = 0.5432 A = ? Now, COS A = 0.5432 A = COS-1( 0.5432) A = 57.09 ~ 57.1° Therefore, Angle A =…

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: Find sin 0, where 0 is the angle shown. Give an exact value, not a decimal approximation.

A: Given,           A triangle is shown below :

Q: Identify the cos >0, sec 0 >0 quadrant(s) of an angle that satisfies the given conditions.

A: Given cos θ&gt;0,  sec θ&gt;0     The figure (CAST diagram) below indicates the quadrants…

Q: Use the given conditions to find the exact values of sin(2u), cos(2u), and tan(2u) using the…

A: Givne :  cos ( u ) = - 4/5 And π/2 &lt; u &lt; π  angle lies in second quadrant .

Q: Use a reference triangle to find the given angle. 1 - 1 sin

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Q: Given an angle 0 in its standard position with cos terminal side of 0 is in the third quadrant, find…

A: Given: cosθ=-513

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

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Q: Suppose a projectile is fired from a cannon with velocity vo and angle of elevation 0. The…

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Q: Find the angle 0 between v = cos 60°i+ sin 60°j and w = cos 135°i+ sin 135°j. If necessary, round to…

A: Find the angle between two vectors

Q: Indicate the quadrants in which the terminal side of θ must lie in. A): If sin θ 0 and csc θ 0,…

A: Recall: All trigonometry-ratio are positive in 1st quadrant. Sine and cosine are positive in 2nd…

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

A: Given, cotθ=6, secθ&lt;0tanθ=1cotθ=16

Q: Find sin 0, where 0 is the angle shown. Give an exact value, not a decimal approximation 13

A: sin theta=opposite/hypotenuse

Q: Use the information given about the angle, 0 < 0 < 2r, to find the exact value of: tan 0 = } ; n< 0<…

A: Given: tanθ=12; π&lt;θ&lt;3π2

Q: Use the given conditions to find the exact values of sin(2u), cos(2u), and tan(2u) using the…

A:

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

A: It is trigonometric value.

Q: O is an angle in standard position whose terminal arm is in quadrant III and Sin 0 3 Find COs O V13

A: Solve the above problem.

Q: If cos 0 V2 and the reference angle of 0 2 is 45°, find both angles in degrees from 0° < 0 < 360°…

A:

Q: Use the given conditions to find the exact values of sin(2u), cos(2u), and tan(2u) using the…

A: Given, secu = -2 cosu = 1/secu = -1/2 π &lt; u &lt;3π/2 then 2π &lt; 2u &lt;3π

Q: Find tan 0, where is the angle shown. Give an exact value, not a decimal approximation.

A:

Q: If the terminal side of angle 0 goes through the point (, v) V5 2V5 5 on the unit circle, then what…

A: The terminal side of an anglegoes through the pointon the unit circle. If (x, y) is a point on the…

Q: Use the given conditions to find the exact values of sin(2u), cos(2u), and tan(2u) using the…

A:

Q: For an acute angle 0, given the equation sin(0) = cos( 38 ) What is the value of 0?

A: sin(90-θ) = cosθ

Matrices

‘Matrices’ is the plural form of the word matrix, and it is basically a spreadsheet in the form of a box. In mathematics, various functions can be carried out with matrices. Generally, a matrix comes in the shape of a square or rectangle. The elements are distributed horizontally in the form of rows, and vertically in the form of columns.