Use the angle addition formulas (Equations 2.10.1 and 2.10.2) to expand the following and use the product and sum rules to compute the derivatives of the following functions. Compare the result with what you get with the chain rule. Take the derivative of cos(θ + φ) with respect to θ, thinking of φ as a constant. Simplify the answer in terms of sin(θ + φ).

Q: 11. A person on the ground is directly between two helicopters that are flying toward each other at ...

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Q: Find the length of side x to the nearest tenth. V6

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A: Given that: Angle of inclination, ∅=0.5°Initial ascent = 2.2 km

Q: Calculate the distance from point A to point B B 67 57 66 44 68 11 32 36" 80° 40 43° 52 b = 450 m O ...

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Q: find the integer the two consecutive odd integers with the sum of  -188.

A: Our Aim is to find the two consecutuve odd integers with the sum of -188.

Q: 2. Suppose f(x+3)%3D f(xr), what is the period of the function f ? (A) 4 (B) 3 (C) 2 (D) 1

A: topic - functions

Q: Tollo gree а.) 180° b) 225° с.) -420°

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Q: The graph below shows at least one complete cycle of the graph of an equation containing a trigonome...

A: topic - trigonometric functions

Q: Consider two angles A and B on a standard coordinate plane such that: 4 3 sin(A) 5 cos(A) 5 40 sin(B...

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Q: In a circle whose radius is 10cm, a chord is 6cm from the center. How long is the chord?

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Q: Solve for t, 0 <t< 2n. 28 sin(t)cos(t) = 4 cos(t) %3D t = Give your answers as values rounded to at ...

A: If sinθ=sinα, then θ=nπ+(-1)nαIf cosθ=cosα,thenθ=2nπ±α

Q: Find two square roots for the following complex number. Leave your answers in trigonometric form. 4(...

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Q: Express the following quotient in the form a + bi. 2[cos 345° + i sin 345°] 5 [cos 120° + i sin 120°...

A: We will evaluate and find in a+ib form as shown below

Q: 1. sin? 2x = 4 sin?x cos2 x

A: As per our guideline we are supposed to answer only one question you can repost other in next questi...

Q: 5. Graph one cycle of y=csc 3x+ 4. +3. 6. Graph one cycle of y = tan 2x-

A: First make a table then draw a table. 

Q: Find the solution of 3tan'x - 3tan'x - tanx + 1 0 from 0 < x < 360° 60 + 180°n 30° + 180°n 330 + 180...

A: Use Trigonometric ratios

Q: construct the parallelogram law to show FR=F1 + F2. Then establish the triangle rule, where FR=F1 + ...

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Q: Determine the number of triangles that satisfy the given set of conditions and then solve the triang...

A: Note: - “Since you have asked multiple questions, we will solve the first question for you. If you w...

Q: 2. In Exercises 33-42, use the power-reducing identities to rewrite each expression to one that cont...

A: As you have asked for only question number 33. So I am doing that only.

Q: Determine the specific solution to the following Trigonometric Equation, where 0sxs 2m: 2sin?x+3cosx...

A:

Q: A ferris wheel of radius 12 m rotates at a constant angular speed and requires 30 seconds to do a co...

A: The given question can be solved as shown in step2.

Q: 1. In Figure 8, each of the circles with centers A, B, and C is tangent to theother two. If AB = 10,...

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Q: ight on a long bond paper. Emphasize your final answer by writing it in 5. (sinx – cosx)² + (sinx + ...

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Q: 45. sin 3x - sin 5x = 0 46. %3D

A: Please refer the attached image for complete solution. THANK YOU.

Q: Given right triangle ABC with altitude BD drawn to hypotenuse AC. If AD = 15 and DC = 11, what is th...

A: NOTE: Refresh your page if you can't see any equations. . here we have BD=x AD=15 CD=11

Q: b ZA = 50° ZB = 77° 7. ZC = degrees

A: Given query is to complete the triangle.

Q: 4. dr = b(cos0dr + rsin0d0) (b is constant) > > O D M D 200% 28/44

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Q: Transform the given general equation of a circle to standard form, then, give the coordinates of the...

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Q: Find the residues.of each of the following functièns at its. poles e •f(z)= 22+3 ans: ri =7/4 ? Fz =...

A: Topic:- residues theorems

Q: 43. sin.r + cos.x

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Q: 2. A swimming pool is constructed in the shape of two partially overlapping identical circles. Each ...

A: Solution...

Q: Range refers to the x values that satisfy the function. True False

A: Every function must have a Domain and Range

Q: What is the domain for f (æ) = Væ – 3.

A: Given fx=x-3

Q: dw X. y w =-+2, x = cos z Z s'(1), y = sin*(t), z =. 1 :=-, at t = 3 Ans. = 1 dt It-3

A: w=xz+yzx=cos2t, y=sin2t, z=1tAnd t=3 To find dwdtt=3

Q: Find all solutions to 2 cos(0) = 1 on the interval 0 < 0 < 2 0 =

A: We know that cos thetha is positive in first and fourth quadrant.

Q: Write the vector shown below as a combination of vectors i and i shown above Vector = i + lơ

A: Vector = (–3) u + (1) v

Q: 31. 3 sin 30 +1 = 0

A: 31.The given equation,   3 sin 3θ+1=0 on the interval [0,360°)

Q: Given angle A= 32°, angle B= 70°, side c=27. Solve for side a of the triangle. O 24.73 O 10.51 O 14....

A: As we know that, the sine rule: asinA=bsinB=csinC Given: A=32°,B=70° &amp;c=27

Q: Find the value of tan W rounded to the nearest hundredth, if necessary. W V 41 40

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Q: 56° 62 B

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Q: A plane hillside is inclined at an angle of 28° with the horizontal. A man wearing skis can climb th...

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Q: Direction: Complete the table below by writing the equation of each of the following circles given t...

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Q: The triangle below is equilateral. Find the length of side x to the nearest tenth.

A: NOTE: Refresh your page if you can't see any equations. . here we have

Q: Use the Pythagorean Theorem to determine the length of the hypotenuse. • BC Give the value for each ...

A: Given, RB= 9 RC= 8 BC= ?

Q: 2.x + y+ 8x - 6y - 39 = 0

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Q: csc? a 3. sec 2a = cot2 a-1

A: As per our guideline we are supposed to be answer only one question you can repost other questions i...

Q: One year ago, a man was 8 times

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Q: 2. a = 6, b = 8, c = 5. Begin by drawing a triangle and label the given information. b2>c^ta? -2uc c...

A: Explanation of the answer is as follows

Q: - Find all solutions for 4 cos x+V3 = 2 cos x if 0<x<2n. %3D

A:

Q: 1. The sound wave for A above middle C may be described by the function f(t)=0.001sin 8807d. Determi...

A: The given function f(t)=0.001 sin 880πt