Each of the following problems refers to triangle ABC. In each case, find the area of thetriangle. Round to three significant digits.     a = 41.5 m, c=4.5 m, B =151.5 degree

Q: 2. If the graph of an equation contains the point (3,11). What point will lie on the graph of its in...

A: Given Graph of an equation contain 3,11

Q: Solve the equation algebraically, and then use a calculator to find the values on the interval  [0, ...

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Q: In a tidal river, the time between high and low tide is 6.6 hours. At high tide the depth of water i...

A: Given that : Time between high and low tide =6.4 hours At high tide the depth of water is 16.7 feet....

Q: For points (x, y ) in quadrant II, the ratio x /y is always negative because x is negative and y is ...

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Q: Find all solutions

A: The given trigonometric equation is: sinx tanx-sinx=0 To simplify this, take the sin(x) common in th...

Q: Write each of the following in terms of sin theta and cos theta; then simplify if possible.   sec th...

A: We have to simplify the expression in terms of sinθ and cosθ: secθ-tanθsinθ We know following relati...

Q: Suppose aa represents some number of radians where 0<a<π20<a<π2, and cos(a)=0.9cos(a)=0....

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Q: Find an angle θ with 0°<θ<360° that has the same:Sine function value as 230°θ =  _____degreesC...

A: To find an angle θ with 0°<θ<360° that has the same:a) Sine function value as 230°b) Cosine fu...

Q: (a) If t = 0 degrees,sin(t)=    and cos(t)=   ; (b) If t = 45 degrees,sin(t)=  and cos(t)=   ; (c) I...

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Q: Write cos(0) in terms of sin(0) if 0 is an angle in quadrant II.

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Q: Why is csc theta>= 1 for any angle theta in standard position?

A: The ratios of the cosecant and secant functions on the coordinate plane, r/y and r/x, have the hypot...

Q: Identify the argument of each function.           ( sin  90 0 - theta )

A: According to the question, we have to find the argument of the function sin 90-θ. As the above funct...

Q: Write z =- 1 + i in trigonometric form.

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Q: Find all solutions on the interval  [0, 2π). Look for opportunities to use trigonometric identities....

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Q: Sketch the graphs of each of the following between x = -4p and x = 4p          y = sin x

A: According to the question, we have to draw the graph of the function y=sin x from x=-4π to 4π. The g...

Q: thank you!!

A: Given function, g(x)=1x Transform into f(x)=1x+5-13

Q: 3. The two functions a(x) = 1 – x and b(x) = 2 are graphed below, determine the following a. For wha...

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Q: Find all exact solutions on the interval [0, 2). Look for opportunities to use trigonometric identit...

A: Note:    We are authorized to answer one question at a time, since you have not mentioned which ques...

Q: Mutiply    (sin theta  - 4 )2

A: Given that: The equation ( sin θ - 4) 2 .

Q: 4. Given a triangle with C = 36°, B = 24º, and a = 9 cm as shown in the figure below. Solve the tria...

A: consider the given triangle △ABC, it is given that ∠B=24° and ∠C=36°. For any triangle Sum of all th...

Q: If the sector formed by a central angle of 45° has an area of π/2 square centimeters, find the radiu...

A: Given for sector of circle, angle, θ=45° area of sector =π2cm2. We have to find the radius of circle...

Q: Find the coordinates of the point on the unit circle measured 3.5 units counterclockwisealong the ci...

A: The point on the unit circle measured 3.5 units counterclockwise along the circumference of the circ...

Q: This problem refers to triangle ABC.If a = 110 inches, b = 68 inches, and C = 60°, find c. (Round yo...

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Q: Find the supplement of each of the following angles 900

A: Two angles are supplementary angles if they add upto 180°. this means, ∠A+∠B=180° Where ∠A and ∠B ar...

Q: Use the Cofunction Theorem to fill in the blanks so that each expression becomes a truestatement.   ...

A: Cofunction Identities: sinθ=cos90∘-θ          ...(1)

Q: A quantity having only a magnitude is called a __________, and a quantity havingboth a magnitude and...

A: Fill in the blanks: A quantity having only a magnitude is called a __________, and a quantity having...

Q: Convert 73.2 degree to degrees and minutes.

A: The given angle is 73.2.  

Q: If C = 165 degree, a = 10 cm, and b = 12 cm, use the law of cosines to find c.

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Q: Plot the points with polar coordinates (2, 1) and -3, using the pencil. 3 -

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Q: 2. A ball is thrown in the air and its height is modeled by the function h(t) =- 16(t – 5)² + 405.5 ...

A: a. consider the given function, ht=-16t-52+405.5 Take the first derivative put it equals to zero to ...

Q: Draw each of the following angles in standard position, find a point on the terminal side,and then f...

A: Given: The angle -45°.

Q: Find the exact area of the circular sector below if the circle has a radius of 12 and 0 120°. r

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Q: The graph of y=tan(x) is vertically stretched by a factor of 14, shifted a distance of 11 units to t...

A: Graph of y=tanx, Vertically stretched by a factor of 14, y=14tanx Shifted 11 units to the right, y=1...

Q: Solve the triangle. (Round your answers to one decimal place.) a = 4.45 ft, b = 3.39 ft, c = 5.53 ft...

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Q: Find the exact area of the circular sector below if the circle has a radius of 12 and 0 = 120°. r L

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Q: Give the exact value of each of the following:     tan 330 0

A: tan330° Now, simplify the above expression. tan330°=tan180+150°=tan150°

Q: Using Definition II and Figure 9, we would refer to a as the side _________ A, b asthe side ________...

A: Given,

Q: If cosθ=−2/4 and tanθ<0, thensin(θ)=    ;tan(θ)=   ;cot(θ)=  ;sec(θ)=   ;csc(θ)=    ;Give exact v...

A: We are given cosθ=-24 and tanθ<0then we have to find the exact values of sinθ,tanθ,cotθ,secθ,secθ...

Q: Prove that each of the following identities is true.   cos x / 1+ sin x  + 1+ sin x  / cos x  = 2 se...

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Q: A flash drive with sensitive information is thrown from the top of a tall building. The distance, in...

A: graph :   f(t) =500  

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

A: Period: The length of x after which the wave repeats its pattern. The minimum points are (-3,-7) and...

Q: Find all of solutions for the following equation. 3. cos x = 2.

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question s...

Q: Identify the amplitude, period, horizontal shift, and phase. Label the axes accurately and sketch on...

A: Given,y=4-2cos3xStandard form of sinusoidal function is y=AcosBx-C+Don camparing given equation with...