Prove each identity a. b. 2 tan x 1 + tan² x 1 - sin² x cot² x = sin 2x 1 - cos²x

Q: The four sequential sides of a quadrilateral have lengths a=4.8, b=5.9, c=6.9, and d=9.5(all…

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Q: Use the function values and the trigonometric identities to evaluate each trigonometric function.…

A: (1)  Given       sin(30∘)=12, tan(30∘)=33 Find  (a) csc(30∘) We know that csc θ=1sin θ…

Q: The area of a rectangular wall of a barn is 168 square feet. It's length is 10 feet than twice it's…

A: Given: The area of a rectangular wall of a barn is 168 square feet. It's length is 10 feet than…

Q: (b) If f-¹(7): Your answer is -4 = 6, find f(- 6). X

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Q: Solve 3cos^2x=sin^2 on the interval [0,2pie]

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Q: A communications tower is located at the top of a steep hill, as shown. The angle of inclination of…

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Q: Establish the identity 2 O A. cos2 0- sin ²0 1- cot² 0 О в. cos² 0-sin 20 1 - cot² 0 O C. cos ²0-sin…

A: We know, cot θ=cos θsin θ

Q: A.) Shiela performed a number trick to Bryan. She let Bryan pick a number divisible by two. She then…

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: A 35° 53 ft. b 109% B

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Q: Find the length of an arc that subtends a central angle of 45° in a circle of radius 30 m. (Round…

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Q: Draw the angle. 210° Choose the correct answer below. O A. Q 4 OB. Q ... O C. O D.

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Q: xpress tan t in terms of sin t, if the terminal point determined by t is in Quadrant I

A: We are asked to express tant interms of sint

Q: Find all solutions of the equation in the interval [0, 27). 2 cos5x cosx+2 sin5x sinx=−V/3 Write…

A: Given- 2 cos5x cosx + 2 sin5x sinx = -3 To find all solutions of the equation in the interval…

Q: Determine the pairs (x, y)(x, y) that satisfy the following equations. 3 H 6 + 2 Y 4 - 9 Ⓒ (4,…

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Q: Use identities to find the indicated value. Where necessary, rationalize denominators. 3√5 Find csc…

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Q: f 4 sin 8x cos 3x dx

A: To find out the integration of the given integrand.

Q: If sect 1 sect + 1 A = = A - cost A + cost then

A: Given, sec(t)-1sec(t)+1=A-cos(t)A+cos(t)

Q: If tan 0 = 5 6 1 (a) sin (20) 31 2 πεθα· find the exact value of each of the following. 3 (b) cos…

A: Given that tan θ=56Since, we know that  tan θ=PerpendicularBase⇒  Perpendicular=5 and Base=6By…

Q: 3. Given 0° ≤ 0 < 360°, solve cos = O 300⁰ O 330° O 30°, 330⁰ O 60°, 300°

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Q: secθ-tanθsinθ=1/secθ

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Q: Solve for x. Round to the nearest tenth, if necessary. Answer: x= N X M 6.8 32° O Submit Answer

A: Here, the triangle MNO is a right angle triangle.

Q: (a) Is it true that sin (2-45°)=2 sin 45°? Give exact answers in simplest form. (b) Expand sin…

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Q: 2: Prove that a) cosx tan3x = sinx tan’x b) (sin x + cos x)² = 1 + sin 2x

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Q: Find a correct to 2 decimal places. NOTE: The triangle is NOT drawn to scale. X = 63° 92 X 38°

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Q: If sin x=1/4 and the terminal point of x is in Quadrant II, what is?  a. sec x b. cot x c. cos 2x

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Q: Suppose that cos a cos tan Find the exact values of cos and tan 2 2 a 2 0 > ܐ 0 2 13 and <a< ત Unde

A: Given that, cosα=-213 and π2&lt;α&lt;π Find the value of cosα2 and tanα2. Here we use the formulas:…

Q: 6: DIVIDE THE INTERVAL OF y=-1+÷cot(2x-37) INTO 4 EQUAL PARTS FOR BOTH PERIODS AND 1+cot(2 CALCULATE…

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Q: 2. CSCX cscx-1 + CSC X CSC X+1 = 2sec²x

A: As we know the trigonometric identities; 1). sinx=1cscx 2). cosx=1secx 3). cotx=cosxsinx 4).…

Q: Find the length s and area A. The length of the arc is yards. (Round to three decimal places as…

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Q: This problem refers to right triangle ABC with  C = 90°.  Begin the problem by drawing a picture of…

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Q: Establish the identity. sin 0+ sin (30) cos 8- cos (30) Choose the correct sequence of steps to…

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Q: Evaluate each expression. Express your answers as simplified fractions and rationalize the…

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Q: If f(0) = cot 0=9, find f(0+1). f(0 + π) = (Simplify your answer.)

A: Given: fθ=cotθ To find: fθ+π

Q: 4. Write a SINE and COSINE Equation for the graph below. 5 -2m 2m 3m mm

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: Find reference point of t when t = -5 pi/4

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Q: A.) Given that a / b = 2/3 and b / c = 7/5, determine c / a ? 12/11; 10/11; 13/14; 15/14

A: Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: twelve equally spaced holes must be drilled on a 11.300 in. diameter bolt circle. what is the…

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Q: State the quadrant in which q lies if sec8> 0 and esco< 0. O Quadrant II Quadrant I Quadrant III…

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Q: In the right triangle A AQH shown below, we have QH = 8yd, angle A = 31° and angle H = 59°. A 31°…

A: Using sine law

Q: Find the inverse for each of the following functions. k(x) k−¹(x) g(x) = = 12x + 4 = 8 x + 2 g−¹(x)…

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Q: Solve AABC subject to the given conditions, if possible. Round the lengths of the sides and measures…

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Q: 2 x=t-1 and y=t² - 2t Part: 0 / 2 Part 1 of 2 (a) Eliminate the parameter and write an equation in…

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Q: An airplane traveling at 400 mph at a cruising altitude of 7.1 mi begins its descent. If the angle…

A: Given problem:- An airplane traveling at 400 mph at a cruising altitude of 7.1 mi begins its…

Q: Using the figure below, if = 26° and y = 8 determine the exact value of x. y 8 tan 26° 4 sin 13° 13…

A: Given figure:-

Q: 1. (1) 2. (2) Using the tip-to-tail method on a labelled sketch, add the vectors below, including…

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Q: Refer to the figure. Find the indicated values to the nearest hundredth of a centimeter or hundredth…

A: This question can be solved using the concept of sine and cosine rule.

Q: find 6 values of triangle of a =5 and c =6 sin theta = cos theta = tan theta = csc theta = sec…

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Q: Find the reference angle 0'. 0-95⁰ 0' = Sketch in standard position and label 0'. y о 0 y 8' 8 8 y 0

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Q: A water sprinkler sprays water over a distance of 30 feet while rotating through an angle of 145°.…

A: This question can be solved using the concept of  Area of sector = πr2θ360

Q: The point is on the terminal side of an angle in standard position. Determine the exact values of…

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