Using the Law of Sines to solve the triangle if ZA = 43°, ZC = 67°, b = 12: LB is degrees; a= C= You may round to two decimal places. Assume A is opposite side a, ZB is opposite side b, and ZC is opposite side c.

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A: A= {1,2,3}B= {x,y,z}Cartesian product:The ordered pair in the cartesian product of sets point…

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A: Known fact:

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Q: Verify the identity. tan² (u) - sin²(u) = tan² (u) sin²(u) sin²(u) tan² (u) sin²(u) = = = sin²(u)-(…

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Q: b) the range of the function f(x) = 2sin3(x) + 4 is

A: As per our guidelines, we are supposed to answer only one question at a time. Since you have posted…

Q: 2. Sketch the ellipse and list its domain and range. (x-4)² (y +2)² + 4 = 1 3. Write an equation for…

A: Domain of ellipse = Range of ellipse =

Q: Write the expression as a single trigonometric function. cos(9x)cos(8x)-sin(9x)sin(8x)

A: The objective of the question is to simplify the given expression into a single trigonometric…

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Q: A light aircraft was traveling 108 miles per hour straight and level when the pilot measured a…

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Q: Use the Law of Cosines to determine the indicated angle 8. (Assume a = 64.01, b = 38.99, and c =…

A: Consider the triangle

Q: 15° 16 O 3 Oc²=a² +6² X = O cos C = sin A a a² + l 20 sin B b How many solutions? Sh

A: Given: To Find: To determine the formula used to solve angle .To determine the number of…

Q: Given that cos α = your answers. 3 and 0°<< 90°, determine the exact values of sin 4 α COS α and tan…

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Q: 86. (a) 2 sin 74° sin 24° (b) 8 sin 18x cos 13x

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Q: Problem 1: Using a calculator or trigonometric tables, determine the lengths x (adjacent side) and y…

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Q: Many smartphones are now able to use information sent out by GPS satellites (of which there are…

A: The objective of the question is to determine the minimum number of satellites required to…

Q: What is the standard form equation of the hyperbola that has vertices (±6 , 0) and foci (±2√10 , 0).…

A: The objective of this question is to find the standard form equation of the hyperbola given the…

Q: For a right triangle with legs measures a and b and length of hypotenuse c. Find error at c if you…

A: For a right triangle with legs measures a and b and length of hypotenuse c.To find the error at c if…

Q: Find the exact value of each of the remaining trigonometric functions of 0. sec 03, csc 0 <0 sin 0 =…

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Q: Establish the identity. cos (α - B) cos a cos ß Choose the sequence of steps below that verifies the…

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Q: For the Questions below use the following directions: Determine which type of conic the equation…

A: Question No. 5:To determine the type of conic that the following equation represent.Note: Since, the…

Q: Calculate the magnitude of vector u =  &lt;3, 4&gt; .

A: The objective of this question is to calculate the magnitude of a vector. The magnitude of a vector…

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Q: If 0 = -11T 6 sec (0) equals csc (8) equals tan(0) equals cot (0) equals then find exact values for…

A: Consider the thetahs

Q: Q3. The angle of elevation of the top of a chimney from the top of a tower is 60° and the angle of…

A: Given angle of elevation of the top of a chimney from the top of a tower is  60 degree…

Q: QUESTION ONE 1. Solve the following equations for values of between 0 and 360 (1) 3 cos 0=cot 0 (b)…

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Q: Q2. Find the solution set of the following equations if 0 ≤ x ≤ π/2. A. 4cos² x -1 = 0 B. (Tan x)…

A: 2) A) 4cos2x-1=0B) tanx secx=0C) 2sin3x-sinx=0According to the bartleby guidelines we solve only…

Q: a tower leans at an angle of about 84.7 the figure shows that 165 ft from the base of the tieer the…

A: a tower leans at an angle of about 84.7 the figure shows that 165 ft from the base of the tower the…

Q: Find all solutions of the equation 2 cos x 1 = 0 on 0 ≤ x < 2π The answers are A and B, where A < B…

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Q: Exercises 21-28: (Refer to Example 4.) Find the following. (a) sin(a + B) (b) cos (a + B) (c) tan (a…

A: Question No. (22): Given:  in quadrant IITo Find: To find the following:

Q: 2 csc 2x = tan x + cot x

A: Prove the following identity.

Q: Exercises 1-4: Use the graphical representation of v to complete the following. (a) Estimate integer…

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Q: Convert the angle measure 288° to radians. O 1.3T O 1.4T O 1.5TT O 1.6TT

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Q: 3. A flagpole is situated at the top of a building 115 ft tall. From a point, P, in the same…

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Q: 4. Find the magnitude and direction angle (to the nearest tenth) of the vector (-7,24). Sketch a…

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Q: Use the figure and write the vector in terms of the other two vectors. v=

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Q: tan 0 cos²0 = 2 tan 0 cos² 0 - tan 0 1tan²0

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Q: 3) Consider the right triangle and find x: 6 X 5

A: Let,hypotenuse  : c = 6perpendicular  : a = 5base : b = x

Q: 2cos(x) - sqr of 3 = 0 Use your graphing calculator to find all degree solutions to the equation by…

A: The objective of the question is to find the solutions to the trigonometric equation 2cos(x) -…

Q: 3. A = 42.5°, a = 15.6 feet, b = 8.14 feet

A: Given that The figure

Q: Find the six trigonometric function values of the specified angle. 0 3 ... sin 0= (Simplify your…

A: The figure

Q: Sketch the ellipse and list its domain and range. (x-4)² (y + 2)² + 9 = 1

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Q: 5. Scientists can use a set of footprints to calculate an organism's step angle, which is a measure…

A: The diagram below showx a set of footprints for a dinosaur. To find the step angle B.Note: Since you…

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Q: 86. (a) 2 sin 74º sin 24° (b) 8 sin 18x cos 13x

A: Question No. (86): To write each expression as a sum or difference of trigonometric functions.

Q: 5. Evaluate angle 0 to the nearest degree 0° ≤ 0 ≤ 90°, sin 0=0.7563_0= 6. Evaluate angle 0 to the…

A: 5. sin (theta) = 0.7563 theta =arcsin(0.7563)Therefore theta = 49°  (round to nearest deg)