Find theta, if 0 degrees < theta < 360 degrees and sec theta = -2 with theta in QIII Answers: 135 45 240 315 225

Q: The acute angle (in radians) between the two straight lines y 3x + 2 and y = 4x + 7 is closest to O…

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Q: solve these equatyions on the interval 0&lt; or = to 2pi a)       2cos(theta) + 3=2 b)…

A: a) First, solve for cos(theta) then use cos inverse.

Q: Which value of 0 is NOT a solution to tan 0 = tan 0? %3D O 135° 45° 0° 180°

A: We have to find the angle

Q: Use the fact that 2(V6 + V2) cos- to find sin and cos 24 24

A: Given that the fact cos π12 = 146+2 To find the cos π24  and   sin π24

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

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Q: Use the given conditions. 5. sin(u) %3D하 고 13' 2 ku<n (a) Determine the quadrant in which u/2 lies.…

A: use trigonometric identities .

Q: Find the angle 0 between v = cos 120°i+ sin 120°j and w= cos 135°i+ sin 135°j. If necessary, round…

A: Given, v=cos120∘i+sin 120∘jw=cos135∘i+sin135∘j We know that, cos…

Q: Find

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Q: Given that sin' (x) and cos (x), show that sin(a+B) = 1 %3D

A: Use the identities of inverse trigonometric function.

Q: To evaluate (csc z cos2 r + tan x) dr, we may substitute u = cos I. Select one: O a. None of these O…

A: To find whether the given statement is true or false

Q: Evaluate sin(In æ) dæ .

A: To evaluate the given integral.

Q: Find the quotient, and write it in rectangular form. 12( cos 470° + i sin 470°) 3( cos 110° + i sin…

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Q: 67. Given that tan 36° V5 - 2V5, give the exact function values. %3D a. sec 36° b. csc54° c. cot54°

A: Given: tan 36∘=5-25

Q: Write the value for each trigonometric ratio: 1) tan A 2) cos C 15 34 30 12 16 B 3) sin Z 4) sin C…

A: We are authorized to answer one question at a time, since you have not mentioned which question you…

Q: Determine the following statement is true or false.Sec(theta)sin(theta)=cot(theta)

A: we know that secx=1cosx                                                   ..1 so, by using equation1…

Q: b. In cot(r)- In| tan(r) = 2 1n cot(r)| %3D

A: Topic = Algebra

Q: 4. Complete the reciprocal and quotient identities. csc e sec e cot 0 or

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Q: Which is equal to 1? Select all that apply. A. sin 30° B. sin 45° C. cos 45° D. cos 60° O E. tan 30°…

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Q: Derive the identity 1 + cot^2 θ = csc^2 θ by dividing x^2 + y^2 = r^2 by y^2

A: Given:

Q: Find the approximate value of csc 46° and sec 46°, given that sin 23° 0.3907.

A: We have to find out

Q: tan 5, given sin 0: 3 270° <0 < 360° 5

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Q: Find all angles, 0° < 0 < 360°, that satisfy the equation below, to the nearest 1oth of a degree.…

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Q: the photo is attached

A: Given,

Q: 8. In the accompanying diagram, mLC = 90, mLA = 42, and CA = 10. Which equation can be used to find…

A: Given: m∠C=90∘, m∠A=42∘, CA=10 We know that in a right angle triangle cosθ=basehypotenuse…

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

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

Q: Which of the following degree angle measures is equivalent to sin -1 (-0.331) ?

A: To determine: angle in degrees, equivalent to sin -1 (-0.331)

Q: which of the following is Not cqual to tan(-315° tan (3150) Cot (-3150) tan (45.) tan (4s50)

A: We can find the answer as below.

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: If cos a = 0.565 and cos ß= 0.867 (both angles are acute),

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Q: Which value of 0 is NOT a solution to tan 0 = tan 0? O 135° 180° 45° 0°

A: Given:           tan2θ=tanθ

Q: 2n 5. Evaluate sec using reference angles. 3

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Q: If tan B = 1 and 0° < B < 180°, Soz then B = degrees. ied %3D

A: Answer:2)step1:we are gonna finding tangent of B i.e equal to 1.we will be using trignometric vlues…

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: Make a table of ordered pairs using values of 0 that are multiples of 45°. r = 8 cos 0 (r, 0) 0° 45°…

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Q: Given that sin' (x) and cos ( x), show that sin(a+B) = 1

A: Given that sin^-1 (x) and cos^-1(x) We have to prove that sin ( alpha + beta) = 1

Q: Solve for x, if0SxS2n, Write your answers in exact values only. 2cos x-cosx-1 0 11TT 6 > 6. 5TT 6.…

A: The given equation is 2cos2x-cosx-1=0,  0≤x≤2π

Q: -12 180° < 0 < 270°, determine the remaining five 13 9. Given sin0 = trigonometric values.

A: sin2θ +cos2θ =1  ⇒  cos(θ) = ±1-sin2θ. tanθ = sinθcos(θ)    and   cotθ = cosθsin(θ). sec θ =1cosθ…

Q: Find the value of each trigonometric ratio. 1) tan Z 2) cos C 35 21 34 30 28 C 16 B 3) sin C 4) tan…

A: As per our company guidelines we are supposed to answer only first 3 sub-parts. Kindly re-post other…

Q: Through the simplification of The expression tan(sec-1x) Which of the following triangles will be…

A: We use the Pythagoras Theorem on right angled triangle.

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: Givensinu=-45To findsin2u ,  cos 2u and tan 2u.

Q: Make a table of ordered pairs using values of e that are multiples of 45°. r = sin(20) (r, 0) 0° 45°…

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Q: Which of the following is undefined? A sec(1710°) B tan(4260°) © cot(2890") D csc(3250")

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Q: Find the exact value of (copy and paste V, rationalize denominators) (a) sin(255°) = %3D (b)…

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Q: 2. Write all the other trigonometric ratios of ZA in terms of sec A.

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Q: 52 48

A: The solution is:

Q: Find the remaining trigonometric ratios of θ based on csc θ = 2 and cos θ is negative

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Q: Make a table of ordered pairs using values of 0 that are multiples of 45°. r = cos(20) (r, 0) 0° 45°…

A: Consider the given polar equation r = cos(2θ)

Q: Express the length x in terms of the trigonometric ratios of 0. X = 20

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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.