In a certain town in North America, the time of sunset for any day of the year can be found using the equation t = -1.79 sin (d+90)) +20.3 where t is the time in hours after midnight and d is the number of the day in the year. To the nearest minute, when did the sun set on June 7th, the 158th day of the year? O 10:03 pm O 8:58 pm O 9:55 pm O 8:43 pm

Q: . Which equation will allow us to solve for x? a sin 40 b. sin 40 C. cos 40 d. cos 40 40 e. tan 40…

A: “Since you have asked multiple question, we will solve the first question for you. If you  want any…

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Q: Solve the equation 2 cos2 − cos = 1 for θ, where 0 ≤ θ ≤ 2π.

A: 2 cos2θ-cosθ=1         0≤θ≤2π⇒2 cos2θ-cosθ-1=0⇒2 cos2θ-2 cos θ+cos θ-1=0⇒ 2 cos θcos θ-1+1=0

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A: Given: sin2x+cosx=0 Simplify the expression. 2sinxcosx+cosx=0cosx(2sinx+1)=0 Evaluate cosx=0…

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A: Given,          sin165°=AB-14

Q: Use a formula for negatives to find the exact value.

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A: Equation given - y = 3sin2π365x-79+12where,y = number of hoursx = number of daysAccording to…

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Q: Solve the following equations over the given interval. 1) 4 cos? x-3 = 0 over [0°, 360°) 2) sin?x +…

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Q: The following are solutions of sin2x+sinx=0 EXCEPT А. 3. B.n D. 3 O A O D

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Q: Find all solutions to the following equation in radians: 3 sin x + 4 = cos2 x

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A: Follow the procedure given below.

Q: The number of hours of daylight in Boston is given by:where x is the number of days after January…

A: Relation given - y = 3sin2π365x-79+12where,y = number of hoursx = number of daysGiven that,   y =…

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A: To determine which of the following is correct in solving ∫2x2+x dx.1 Trigonometric substitution can…

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A: We will solve the given equation on interval 0≤θ&lt;2πbelow find the solution in the image.

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Q: simplify sin^2 (t)+cos^2(t)/cos^2(t) to an expression involving a single trig function with no…

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Q: What happens when you try to find B for sin B = 4.321 on your calculator? Why doesthis happen?

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Q: Find the exact value of the expression. sin 165° O A. - v2(V3 – 1) O B. - v2(V3 + 1) VZ (V3 - 1) Oc.…

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A: handwriting solution

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Q: sine 2. Co 1+850)

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Q: Solve the equation for 0 <0< 360°. Show your work. sin(30 + 45) = ; %3D

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Q: Given 0 <0 < 2n, solve -2 sin? 0 + cos 0 = -1. T, T. 3. 2m 4m 3 3

A: The basic trignometric relations you need to remember for this question are;sin2θ + cos2θ =…

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Q: i sin (42) cos (4x)dz can be solve by Walli's formula. True or false. O Truc Falsc CamScanner

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Q: Given sec(a) = 5/2 and sin(b) = -1/4, and a and b are both in the interval [(3pi)/2, 2pi). Without…

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Q: Solve the equation sin(2t) =-0.99 for t, where <t<2n. Enter your two values of t in radians, correct…

A: We have sin2t=-0.99  , π≤t≤2π Now, we have a property that sinx=sinπ-x Therefore,  sin2t=sinπ-2t…

Q: What is the value of x in the equation x = 2Arc sin? 1) 2) 3) 플 4)

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Q: 3. Which is the solution to the equation sin?x = 3cos²x, x = 3 3

A: Given the equation: sin2 x=3cos2 x We know that  sin2 θ+cos2 θ=1 So, sin2 x=31-sin2 xsin2 x=3-3sin2…

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Q: If sin A = − sqrt65/65 with 180° ≤ A ≤ 270°,  find cos 2A and cos A/2.

A: