1. Find the exact values. No calculators allowed. a) sin(15°)

Q: a B sin(A) = cos(A) = Note: Triangle may not be drawn to scale. Suppose a = 7 and b = 12. Find an…

A: sue pythagoras theorem in triangle ABCa2+b2=c2c=49+144=193

Q: Solve the following triangle using either the Law of Sines or the Law of Cosines. B=22°, C=86°, a =…

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Q: 2 If sin t = 3, and t is in quadrant I, find the exact value of sin (2 t), cos (2 t), and tan (2 t)…

A: Given: sin t=23 and t is in the quadrant I   To find: sin(2t), cos(2t), tan(2t)

Q: Solve the trigonometric equation with a multiple angle: cos(x + pi/4) = 1/2 Example answer: a. {x|x…

A: The answer is given below:

Q: Solve the triangle. A=43°, b=5, c = 8 a= (Do not round until the final answer. Then round to the…

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Q: Solve the following triangle using either the Law of Sines or the Law of Cosines. A=13°, a=6, b=12

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Q: Here are some tests that we can use to help determine whether a polar graph has certain symmetries.…

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: Given the following equation 3y = 6x6. Find the following: a) slope. b) any point on the line. ( c)…

A: Given an equation of line 3y=6x-6   We are required to finda. Slope of lineb. any point on the…

Q: Given the value of a function, find the values of all the other func- tions: b. cos t = c. tant =…

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Q: Please help me with this explain how you would complete a trig identity questions and include…

A: Use trig identity to prove question

Q: Find the measure of the longest side of AABC with A= 60°, B= 70°, c = 12. (And then find the area.)

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Q: An employee wants to invest $50,000 in a pension plan. One investment offers 6% compounded…

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Q: If tan x = 1/2 and tan y = 1/3, then what is the value of tan(x+y)? 2 1/6 1/2 0 1

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Q: a) Is cos(2-30°) equal to cos² 30° - sin² 30° ? Yes or No. || b) Find the value of cos(230°).

A: a) cos ( 2.30°) = cos230 - sin230

Q: An employee wants to invest $60,000 in a pension plan. One investment offers 6% compounded…

A: ⇒A=P1+rnnt ⇒P=Initial amount ⇒A=Amount  at time t ⇒n=compounded period ⇒t= Time in years

Q: An employee wants to invest $60,000 in a pension plan. One investment offers 6% compounded…

A: this is question of algebra  here we have to compare two interest  further calculation is given…

Q: find the vertex, focus, and directrix of the parabola given by each equation. Sketch the graph (x +…

A: Topic:- geometry

Q: Find c if a = 2.14 mi, b = 3.3 mi and ZC = 41.4 degrees. mi; C=

A: Given,           a=2.14 mi, b=3.3 mi and ∠C=41.4°To find : Find c.

Q: Convert the given Cartesian equation into a polar equation. Provide your answer below: 2x = 4y²

A: for polar equation put x=rcosθy=rsinθ

Q: Decompose v into two vectors v₁ and v2, where v₁ is parallel to w and v₂ is orthogonal to w. v=2i+j…

A: v=v1+v2given v=2i+jw=-6i-jgiven  v1  is parallel to w

Q: Solve the following equation for on the interval [0, 360°). Provide your answer below: 8 sec (0)2 =…

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Q: 1. Given that cos(a) = with 3 < a < 2, give an exact answer for the following: a. sin() = b. cos() =…

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Q: Find the exact solution of the equation. 6 tan -1. X=T ... The solution set is. (Simplify your…

A: Given query is to find the solution of the expression.

Q: Write each expression in terms of sine and cosine, and then simplify so that no quotients appear in…

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Q: The tangent of an obtuse angle is. Calculate the cosine of this angle to 4 decimal places.

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Q: Rectangular-to-Polar Conversion In Exercises 33-40, plot the point given in rectangular coordinates…

A: we need to convert the given rectangular coordinate into polar coordinate.

Q: Determine the exact value of in the following equation if 0 ≤ 0 < 2π. -8 sin² 0 + 10 = 6 Select the…

A: Given -8sin2θ + 10 = 6

Q: Sketch the graphs of the following: 1. y 3 sin x

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Q: Given any Cartesian coordinates, (x,y), there are polar coordinates (r, 0) with - <0. Find polar…

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Q: Write the equation of a function g that is a transformation of f(x) = sin(x) such that: - the…

A: The amplitude of the function is 3, the period of the function is 8π, the smallest value of the…

Q: (secx-tan x)² +1 secxcscx - tan xcscx = 2 tan x

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Q: Determine the exact value of 0 in the following equation if 0 ≤ 0 MA|$ v/ 813 0 = 7π and only 3π 4…

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Q: Sin(0)-csc(0)/cos(0)

A: Trigonometric

Q: of Thunder Bay, Ontario, has average monthly temperatures that vary between - 14.8°C and 17.6°C. The…

A: 7. The city of Thunder Bay, Ontario, has average monthly temperatures that vary between -14.8°C…

Q: Solve the following equation for on the interval [0, 27). -7√3 tan0+2 = 9 Enter your answer(s) in…

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Q: Determine the ordered pair representing the maximum value of the graph of the equation below. r =…

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Q: the trigonometric identities to establish each identity. Work only side of the equation and be sure…

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Q: Find the quotient 21 22 21 - O 21 (cos 200° + i sin 200°) and 22 21 - 22 O O = 3 (cos 80° + i sin…

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Q: Use the given information about the angle to find the exact value of each of the following. b. cos…

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Q: A soccer goal is 8 yards wide. Suppose a goalie is standing on her line in the center of her goal as…

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Q: prove that (sin(x)+cos(x))(tan(x)+cot(x))=sec(x)+csc(x)

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Q: 0<0<2 Simplify the algebraic expression by using the given trigonometric substitution. Assume 0 <0<…

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Q: 15 Suppose sin(a) = — where π < a < ³7, and tan(ß) = 8 a) Find sin (a + B). where <ß <³7.

A: formula is  sin(α+β)=sinαcosβ+cosαsinβsin2x+cos2x=1

Q: Evaluate: [secx co 43 x cosec 8/3 x dx

A: Given integral:- ∫sec43xcosec83xdx

Q: Apply the trigonometric identities to establish the expression side. Show your work. 1-cos²0 cos sin…

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Q: (a) Find the dot product vw; (b) find the angle between v and w, (c) state whether the vectors are…

A: use the dot product to find the theta.

Q: A piece of cardboard is 2.4 times as long as it is wide. It is to be made into a box with an open…

A: We need to write down the length and restrictions on x.

Q: the sine curve y=a sin(k(x-b)) has amplitude _____, period____________. and horizontal…

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Q: If 0= www. 1T 4 then find exact values for the following: sec(0) equals csc (0) equals tan(0) equals…

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Q: Can you answer number 4 please? Thank you!

A: To prove the given trigonometric identity