Solve the following equations: (a) 2 sin 0 tan 0 – tan 0 = 1 – 2 sin 0 (b) sec 2 = COS 2 |

Q: Solve the ABC Triangle a = 77.8m c = 43.8m B = 16.7 degrees Find A, C, b

A: The Cosine rule: a2=b2+c2-2bc cosAb2=a2+c2-2ac cosBc2=a2+b2-2ab cosC   Given: a=77.8 m, c=43.8m,…

Q: To measure the distance through a mountain for a proposed tunnel, a point C is chosen that can be…

A: Explained below

Q: Convert to polar coordinates with r,≥0 and 0≤theta<2

A: Given query is to find the the equivalent polar coordinates.

Q: B. Simple Interest Simple Interest is the money earned (or owed) only on the original amount…

A: Simple interest , S.I = P×R×T. Amount = P + S.I

Q: II. Comparing Linear, Quadratic, and Exponential Functions A. Equations Use the equations of the…

A: This is a problem related to function. Based on the general formula and concept we will answer the…

Q: 3) Given the equation y = 154(1.06)* %3D a) Does this equation represent growth or decay? b) What is…

A: Given is an equation

Q: tane – cot0 a. Prove 1 – 2cos?0 6. Show 1– 8sin?0· cos²0 = cos(40) | tane + cot0

A:

Q: 1.) Bacteria multiplies in a rate in which a bacteria splits into two new cells, thus doubling its…

A: how many bacteria will we have at 6:00 am the following day?

Q: Solve the given problem and show your solution The angle of elevation of a ladder leaning against a…

A:

Q: 2. The graphs of in red, and 1- cos 0, in blue, are shown below What do these graphs and your answer…

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Q: Use a calculator to find 0 to the nearest tenth of a degree if 0 is an acute angle and satisfies the…

A:

Q: Find the perimeter of the figure below. Notice that one side length Is not glven. Assume that all…

A:

Q: 1) Which is another name for side ST? 11 km 5 km (a) (b) (c) t (d) rts 9 km

A: Given: To find:

Q: Consider the figure, which shows a circle with center at C and a radius of r, and right triangle…

A: Consider the figure

Q: cos(2tan^-1 (1/5)) Evaulate the expression without using a calculator. *the -1 is attached to the…

A: 2 tan-1(x) =cos-11-x21+x2 coscos-1x=x

Q: Find the four fourth roots of z = 625( cos 47 + i in ). Write each root in standard form. Wo = W1 =…

A: This question can be solved using the concept of fourth root of complex numbers.

Q: Because XYZ intercepts XZ of OP, mXYZ = mXZ. %3D O True O False

A:

Q: Find three cube roots for the following complex number. Leave your answers in trigonometric form.…

A:

Q: Match the graphs below with the following descriptions by indicating the graph corresponding to each…

A: To match the graph with the given situation.

Q: Given that sin u = 1 /3 and cos v = −3/5 and that u and v are both in the second quadrant.  Find…

A:

Q: Convert to polar coordinates withr2 0 and 0 < 0 < 27. (3, 0) (г, Ө) —

A:

Q: 4) What is x to the power of -6?

A: We can find the answer as below.

Q: n 10 = 2.85 mi, b = 3.16 mi and ZC = 40.8°. Enter c rounded to 2 decim- %3D %3D %3D mi A is opposite…

A: Please refer to the image below

Q: 13. Evaluate the fTunction. Give the exact value. cos tan(V3) cos(arctan( v36 = 0.5

A: Solve the following

Q: (ii) Prove the identity (2 - 2 cos 0)(sin 0 + sin 20 + sin 30) -(cos 40 - 1) sin 0 + sin 40 (cos 0 –…

A: Prove the Identity: 2-2cosθsinθ+sin2θ+sin3θ=-cos4θ-1sinθ+sin4θcosθ-1 NOTE: Since you have asked…

Q: 5. Find the exact value of the following. A. A cos(-240')= 8. csc300° = C. sin210=

A:

Q: If e = 7t/9 is a central angle that cuts off an arc length of T centimeters, find the radius r of…

A:

Q: A Ferris wheel has a radius of 20m and takes 2.5 minutes to rotate once. a) How far does a rider…

A:

Q: Solve the equation in the interval [0, 27). (b) tan 2 + 2 sin(2x) CSc x |

A: Solution is given below:

Q: Find each trig ratio. Give your answer as a fraction in simplest form. 16 S. R 30 Sin Q = Cos Q =;

A:

Q: Find the value of the following expression and round to the nearest integer: 49 2 20(0.98)"+1 n=0

A: topic - geometric series

Q: Find the exact value of tan (75◦)

A:

Q: What is true about corresponding angles? O Their angles sum up to 270 degrees. Their angles sum up…

A:

Q: Find the angle between two vectors u = and v =

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Q: Given the triangle below, find the angle A and length of side x Note: picture is NOT drawn to scale,…

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Q: What is the dot product of the vectors (4, −10, 3) and (1, 1, 5)? a) -113 b) 0 c) 4 or d) 9

A: Given :(4, −10, 3) and (1, 1, 5)

Q: Refer to the figure below. Make use of Euclid's axioms and postulates. Line AB crosses lines CD and…

A:

Q: Find the value of the following expression and round to the nearest integer: 28 2 400(0.91)" n=1

A: The given series,    ∑n=1284000.91n

Q: Find the product zįZ2 in standard form. (Simplify your answer completely.) Z1 = -8, z2 = 1 + i/3…

A: We will solve the problem.

Q: Use the Pythagorean Theorem to find the length of the missing side.Then find.the indicated…

A: Given query is to find the value of indicated trigonometric functions.

Q: Use the fundamental identities to simplify the expression. 1- sin? e cos? 0 cot? e - cos? 0 Cos e

A: Given:   To determine: simplified expression

Q: Determine the exact value of the following: tan² () – sin (-) cot ()

A:

Q: Activity 5: Elevation Solve for the unknown. Round off the measures into a whole number. 399 1. 900…

A: here we apply trigonometric ration  1 inside angle is 90-39 = 51 apply there tan  tan51 = x/900 x =…

Q: Suppose that sin u > and cos v = 13 such that bot and v in the and quadrant. as are • What is the…

A: Here, the given values are: sin u=513 &amp; cos v=-35 So, u and v are both in 2nd quadrant.

Q: A man standing near a building notices that the angle of elevation to the top of the building is…

A: answer is in next step

Q: Assume that cos\theta =-(1)/(3) and \pi <\theta <(3\pi )/(2), find the exact value of cos2\t

A:

Q: Drake can rake a lawn and bag the leaves in 4 hours while Anna can do the same job in 6 hours. If…

A: To find how long will it take them to finish the job.

Q: Choose all correct statements based off the triangle given. Remember to use all your strategies to…

A:

Q: Suppose that tant 12 and sin t 20 use the appropriate Double - Angle Identity to bolve each of the…

A: Given that          tant = -125  and      sint&lt;0                           tant = -125…

Q: The center of an airplane propeller is 13 feet off the ground and the radius of the propeller is 3…

A: We have to find the height of tip of each propeller.