Let P be the point function that sends a real number A to the point -437 (cos 0, sin 0). Evaluate P 3 3 2 1 /3

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A: Given, The terminal side of θ lies along the line y = 3x in QI.

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A: Here given equation is cos 2π/3 + i sin 2π/3 = cos 60° + i sin 60° = 1/2 + i 3/2

Q: Express in the form a + bi where a and b are real numbers.

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A: given trigonometric equation sin2θ = 2cosθsubstract both side by sin2θ⇒-sin2θ + 2cosθ=0[use the…

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

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A: As per our guidelines we are only supposed to solve first question in case of multiple questions

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A: Given : sinx + 7π6

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A: To evaluate the given integral.

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Q: Evaluate / cos(a0)d0 where a is a real number, and C is an arbitrary constant. sin(æ0) + C O a…

A: Solution-

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

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A: we have to find the value of sin t when t = 5π, -2π, 17π/2, -13π/2.

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A: Given-  cosx=12 To find- The angles for the above trigonometric expressions.

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A: I am attaching image so that you understand each and every step.

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Q: 6) Find the exact function value if it exists. a) Cos 240° = -0.5 %3D b) Cot 330° = sq-3

A: Answer and explanation is given below..

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A: General solution

Q: Let (−4−5) be a point on the terminal side of θ. Find the exact values of sinθ, secθ, and tanθ.

A: (x, y) = (-4, -5)

Q: Let sin t = a, cos t = b, and tan t = c.Write the expression -cos t + 7 cos(t + 1000π) + tan t +…

A: Given that, sin t = a, cos t = b, and tan t = c And, the expression is:  -cos t + 7 cos(t + 1000π) +…

Q: f cosece - sin0 = m and sec0 – cos0=n,Prove that „?n) + (mn²) = 1

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Q: 2. What is the period of the trigonometric function given by f(x) a. 플 b. 2π C. T d. 3 = 3sin(2x)?

A: This question is based on trigonometry function

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Q: Find the five trigonometric functions in terms of t, if sint = - x+1

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Q: Exer. 15–16: Use half-angle formulas to find the exact values. 15 (a) cos 67°30' (b) sin 15° (c) tan…

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Q: Rewrite cos(t+π/3) in terms of sin(t) and cos(t).

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Q: Determine the guadrant in which the terminal side of 0 lies (a) cos 0 0 (Choose one) (b) sin 0 < 0…

A: Given that  A) cosθ&lt;0 and sinθ&gt;0 b) sinθ&lt;0 and tanθ&lt;0

Q: Prove Sin (A+B)+Sin (A-B)=2SinA.CosB

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