Given that the point (-3, –2) is on the terminal arm of angle 0, find the exact value of cos 0.

Q: Use the given information to find the missing ratio. 2 a) csc a, if sin a = 3 b) cot a, if tan a = 5…

A: a. We know the realtion between cscα and sinα is cscα=1sinα Then, we have given  sinα=23 Therefore,…

Q: Given that sin(0) = R, and 0 is in Quadrant II, what is cos(20)? %3D

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Q: If cos 22.5° = VA+ VB, then, by using a half-angle formula, find

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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 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: using the appropriate half angle formula, find the exact value of cos 22.5

A: Find the exact value of

Q: Use the given conditions tan u = −5/12, 3π/2 < u < 2π to (a) determine the quadrant in which…

A: Given tanu =-5/12 , 3pi/2<u<2pi.   To determine sin(u/2) , cos(u/2) and tan(u/2)

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= 9/41 and tan B=21/20. Find the value of…

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Q: When using the half-angle formula for sin (A/2) or cos (A/2), the sign in front of theradical is…

A: When using the half-angle formula for sin (A/2) or cos (A/2), the sign in front of theradical is…

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: If cos 22.5° A+ VB, then, by using a half-angle formula, find A = |

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Q: Given cos 0 = , find the value of sec 0 12

A: cosθ=-712

Q: Given that tan 0 12 %3D 5 and that angle 0 terminates in quadrant III, then what is the value of cos…

A: Use pythagorous theorem

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

A: Given,          cosu=-1517 ,  π2<u<π

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: Given that θ is an acute angle and cos θ = 7/25, find: a) tan θ b) sin θ c) sec θ

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Q: Given that the point (180, -19) is on the terminal side of an angle, 0, find the exact value of the…

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Q: If cos7A = sin(A-60) where 7A is an acute angle , Find the value of A

A: Solution Given cos 7A = sin ( A - 6⁰ ) sin ( 90⁰ - 7A )= sin ( A - 6⁰ ) Since ( 90⁰ - 7A ) and  ( A…

Q: Use the half-angle formula to find the exact value of cos(165°).

A: 165 degrees is in the second quadrant. So cos 165 will be negative.  Then we use the half-angle…

Q: cos ? = 35

A: there is an error in the question. the value of cos? is lying between[-1,1] but in these cases the…

Q: Given that θ is an acute angle and tan θ = 32, find the exact values of the other fivetrigonometric…

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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: For positive acute angles A and B, it is known that sin A=40/41 and tan B=28/45​. Find the value of…

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Q: Find all angles, 0° < 0 < 360°, that satisfy the equation below, to the nearest 10oth of a degree.…

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Q: Given that cos(0) = - and 0 is in Quadrant III, find csc(0) and cot(0) | 13

A: cos(θ)=-1213 θ is in III quadrant. Calculate sinθ…

Q: Given that the point (6, -8) is on the terminal side of an angle, 0, find the exact value of the…

A: (6,-8) is a point in forth quadrant. Only cosine and secent are positive.

Q: If cos 22.5° VA+ VB, then, by using a half-angle formula, find

A: We will evaluate the co(22.5°) by using half life formula as shown below

Q: Given that cos(@) = - and that w is in the second quadrant, find the exact value of sin (ω) , tan(ω)…

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Q: Given cosθ=−1/2 and the terminal side of the angle lies in quadrant II, what is tanθ?

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Q: Given that the radius r of the unit circle is 1, what would be the values of sin 0 and cos e in the…

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Q: In a right triangle with acute angles of measures a and B, cos B = . Find the following values in…

A: The right angle triangle having acute angle measure α and β. cosβ=ac Now, draw the right angle…

Q: For positive acute angles A and B, it is known that sin A = 1 and 15 17 cos B Find the value of…

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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 information to find the exact value of a. sin 20, b. cos 20, and c. tan 20. 15 cos 9 =…

A: sin2θ= 2 sinθ cosθ cos2θ = cos2θ- sin2θ

Q: Given that sin A= -12/13 and the terminal side of A is in quadrant 4, find the exact value of…

A: sin A=-12/13

Q: In a right triangle with acute angles of measures a and ß, cos B = %. Find the following values in…

A: Given: cosβ=ac

Q: Given Hlat Cos a= , and Sin /s , and Sin aco a) Sketch the reference triongle for angle Now Use…

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Q: In the given image, e, = 0,, and the angles are measured in radians. Which of these must be true?

A: Here we use the relationship between arc length, angle and radius. We have the relation,       Arc…

Q: Use the appropriate compound angle formula to find the exact value of cos 3

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Q: If θ is an acute angle and cos θ = 1/3, find csc (π/2 - θ).

A: It is given that,cos θ = 1/3 We have to find  csc (π/2 - θ).

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

A: tanu = 5/13 other side of triangle = 194 cosu = 13/194 sinu = 5/194 sin2u = 2*cosu*sinu sin2u =…

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

A: Given sinu=-45 Also 3π2&lt;u&lt;2π i.e. u lies in 4th quadrant.

Q: If sin a = 17 and cos B =- for a second-quadrant angle a and a third-quadrant angle B, find the 13…

A: Given :  sinα=817 cosβ=-513 We have to find out the value of sinα+β.  We know that…

Q: Let B be one of the two acute angles of a right triangle.  The hypotenuse of the triangle is of…

A: It is given that  hypotenuse of the triangle is of length 130, the side of the triangle adjacent to…

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

A: Topic- Inequalities

Q: If the terminal side of angle t goes through the following point on the unit circle, then what is…

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Q: Given that cosA=−12/13 and sin B=8/17, with A and B in quadrant II,  Find cos(A+B)

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