The Statue of Liberty is approximately 305 feet tall. If the angle of elevation of a ship to the top of the statue is 20.2°, how far, to the nearest foot, is the ship from the statue's base? feet (Round to the nearest foot.)

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Q: -w #43 Let n», ², a; >0, 5=1,2,... and a₁ + a₂+...+ an = 1 Prove that a, a ₂ 2-92- + 4 + an 2-an 7…

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Q: x cm The diagram shows a right-angled triangle. Calculate the value of x. 12 cm 35⁰ NOT TO SCALE

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Q: Find the exact value of each expression. 11) csc sec √6 2 2√21 21 13) sec cot¹. 10) cos sec-¹ 2√3…

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Q: Find the exact value of each expression, if it is defined. Express your answer in radians. (If an…

A: To find the value of given inverse trigonometric functions

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Q: 14. From my balcony, I can see a tall building a short distance away. The angle of elevation to the…

A: Let's find distance from the bottom of the building.

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Q: 7) y = sec¯¹ (x + 1) y H 2 3x 2 T X 8) y=sin w/3 -6-5-4-3-2-1 3m 2 R EN 2 KN FEN R 2 3m M

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Q: Apply the trigonometric identities to establish the expression side. Show your work. 1-cos²0 cos sin…

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Q: Find the exact value of each expression. 7) sin-1. tan 冷 2 9) cos-1 V3 2 2) 4 8) sin-−1 10) tan-1…

A: To find the exact value of each expression.7 sin-1-328 sin-1-19 cos-13210 tan-133

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A: Magnitude of a Vector Formula Suppose, AB is a vector quantity that has magnitude and direction…

Q: csc tan ²¹ (-1)] = sec cos ¹ (-1/2) = -1

A: odd function even function

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Q: Identify the domain and range of each. Then sketch the graph. 5) y = tan-¹ 3x 3m 2 --5-4-3-21 R R 2…

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Q: Solve the equation. cos(x + pi/4) = 1/2

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Q: Identify the domain and range of each. Then sketch the graph. -1 5) y=tan ¹ 3x 4-B 24 2 3x 3m 2 R 2…

A: The graph and domain of function is given below

Q: Ο 0.087

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Q: Find sin 8. sec 8= 13 11' ¸ tan 8< 0 sin 8-n (Simplify your answer, including any radicals. Us

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Q: Verify the identity: 2 - cos²x sin x = CSC x + sin x

A: To verify the given identity.

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A: Please see the below picture for detailed solution.

Q: 1. (1 cos 0) (1 + cos 0) (1 + cot²0) = 1

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Q: Highlight each graph below depicting the domain used to create each inverse trigonometric function.…

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Q: Find the area of the following triangle. Round your answers to the nearest hundredth. a = 4.8 in, b…

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Q: Find the exact value of the trigonometric expression when sin(u) = − 12/13 and cos(v) = −15/17 (Both…

A: We need to find out the exact value of the given function.

Q: Solve the following triangle using either the Law of Sines or the Law of Cosines. A=13°, a=6, b=12

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Q: Sketch two periods of the graph of the function h(z) = 5 sec factor, period, and asymptotes. Enter…

A: Given Equation:- hx=5secπ4x+1

Q: 46° 3X+15 89⁰

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Q: T Let f(x) = sinx, - sxs and g(x) = cos x, 0≤x≤. Find the exact value of the composite function. T…

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Q: Sketch the graphs of the following: 1. y 3 sin x

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Q: Simplify the expression to get a numerical value. cot x sec x sin x 01 00 O sec²8 0-1 A

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Q: sin 0= 4 0 in quadrant II, find the exact value of 9' a) cos 0 (b) (b) sin 0+ (c) cos 0 TU sin (0+)…

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Q: Find the derivatives of the following functions. 1-x√√x 1+x√√x 2 (x>0)

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Q: Find the following trig ratios, exactly (no calculators!). Use special triangles and include a fully…

A: Let's find value of given trigonometric functions.

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Q: Find the area K of the triangle. a=6, b=7, C = 25° K= square units (Round to two decimal places as…

A: Solution: Given data, a = 6, b = 7, C = 25°