Watch the video and then solve the problem given below. Click here to watch the video. Use a half-angle identity to find the exact value. cos 67.5° *** cos 67.5° = (Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression.)

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

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A: Solve the following

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A: The given polar equation r=3. We have to sketch the graph of the equation.

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A: To solve for x.ex2=e9

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A: NOTE: Refresh your page if you can't see any equations. . divide both sides by -10

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A: To find the values of A and B

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A: To write the given equation in rectangular coordinates.

Q: The rectangular coordinates of a point are given. Find polar coordinates (r, 0) for each of the…

A: since we know that if (x,y) be retangular coordinates and ( r , θ) be polar then r = (x2+y2)   and…

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Q: 4. Which ratios in the Sine Law would you use to calculate the indicated length?

A: Given,            The triangle is shown below :             To find : Which ratios in the Sine Law…

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Q: Solve the following for 0, in radians, where 0 ≤ 0 < 2π. Round to the nearest hundredth. -8 sin² (0)…

A: Given: -8sin2θ+8sinθ+7=0 where, 0≤θ&lt;2π

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

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A: The given triangle has measures a=296 km, B=57.7°. We have to find the values of b and c.

Q: Which expression is equivalent to sec a(1 — cos²a) for all values of a for which seca(1 — cos²a) is…

A: We need to find an expression equivalent tosecα(1-cos2α)

Q: For the following pair of vectors, find U · V. U = 6i + 3j, V = −6i + 3j

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Q: Perform the indicated operation: {9 [ cos (138°) + i sin (138°) ] } / { 5 [ cos (21°) + i sin (21°)…

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Q: 9 75, arctan = X arcsin( x > 0

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Q: 0 0 π/6 Select the correct answer below: P 9.99 -10.6 4.32 π/2 5.52 (2T)/3 8.54 (5T)/6-7.75 π/3 ㅠ…

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Q: Using the figure below, solve the right triangle. (Round lengths of sides to three significant…

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Q: Find the following dot product. (-19,3) · (16,-6)

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Q: Use DeMoivre's Theorem to find the indicated power of the complex number. Write the result in…

A: DeMoivre's Theorem rcosθ+isinθn=rncosnθ+isinnθ

Q: n Exercises 61 to 64, find the measure in radians and degrees of the central angle of a circle…

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Q: Convert the point with Cartesian coordinates 5√3 5 " 2 2 to polar coordinates.

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Q: The count in a bacteria culture was 300 after 10 minutes and 1600 after 35 minutes. Assuming the…

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Q: Note that your response should be written in sentences, and logically justified to gain full marks.…

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Q: The variables r and 8 represent polar coordinates. (a) Write each polar equation in rectangular…

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Q: 2. If cos a = 2 3 6 sin ß = ²³, P(a) € QI, P (ß) € QIII, find the following: c. sin(2a) b. tan(a +…

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

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Q: Write the trigonometric form of the complex number. 4-i (Round your angles to two decimal places.…

A: Given query is to find the trigonometric form of the expression.

Q: Use a half angle or reduction formula to fill in the blanks in the identity below: (cos(5x))² = cos(…

A: As we know ⇒cos2A=1+cos2A2

Q: Write the polar coordinates (10,7) as rectangular coordinates. Enter an exact answer (no decimals).

A: To write the polar coordinates 10, 7π6 as rectangular coordinates.

Q: 5. Simplify the expression (a) -1 (b) 1 (c) sin²x (d) - cos² (e) None of these cos²x+ sin x sec² x…

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Q: So what if it was sin(theta) sqrt(2)/2? Would it be the same principle?

A: The given equation sin θ=22. We have to find the general solution for θ.

Q: Find the remaining five trigonometic functions of 0. 12 5' cot 0= sin 8> 0 Complete the following…

A: Solution to find the remaining trigonometric function of the given problem is as follow .

Q: Use a power reducing formula to simplify 24sin²x. Write your answer as an equivalent expression that…

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Q: What is the value of sin (23) - cot (2) 6 3 √3 6 -3+2√3 3-2√3 6

A: To find the value of given trigonometric expression

Q: Find the following for both graphs Amplitude Period Equation of Axis Phase Shift for Sine Phase…

A: We have to find the Amplitude, Period, Equation of Axis, Phase Shift for Sine, Phase Shift for…

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A: Given query is to find the characteristics of the graph.

Q: Solve the given equation. (Enter your answers as a comma-separated list. Let k be any integer. Round…

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Q: SOLVE THE INEQUALITY AND WRITE THE SOLUTION IN INTERVAL NOTATION x² + 8x +12 ≤0

A: Here we have to solve the given inequality

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

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