Let →a=⟨7,−5⟩ and b→=⟨1,3⟩. Compute the dot product. →a X →b=

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A: The given trigonometric equation,      3sin2θ+1=9 sinθ

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A: To verify that tant cott =1

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Q: Verify the identity. (Simplify at each step.) 3 cos² B-3 sin² ß = 3 - 6 sin² ß 3 cos² B-3 sin² B =…

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Q: Suppose that sina = √ and 5 2 <a < π a Find the exact values of sin and tan 2 गंत

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Q: Match the point 9, (⁹. A - 11π 6 3π B 9, 4 C c(₁. - =) D(-9, 7) in polar coordinates to the point A,…

A: - 11Π/6 is similar to  -11Π/6 +2Π = Π/6

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Q: 24. Which of the following best describes the triangles shown to the right? O neither similar nor…

A: similar and congruent

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A: We need to prove the identity.

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A: Solve the equation tan(thita)= -2sin(thita)

Q: Suppose sin(0) = -2/3 where 0 lies in Quadrant IV. Use this to find tan(20).

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Q: 4. Determine the exact value of Sin 120*

A: As we know from the trigonometric identity; sin90+θ=cosθ   The given expression is: sin120°

Q: So is the distance AC 6.6 mi, and the distance BC 6.5 mi?

A: Yes .  Distance AC = 6.6mi  and Distance BC = 6.5 mi.

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Q: The table shows the approximate lengths and diameters (in inches) of common nails. Find a…

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Q: Simplify the expression. Write the final form with no fractions. 2 cos²x+1 -+1=0 2 sin x ☐ ☐cos☐…

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Q: 4. The height, h, in metres of a tide in a particular location on a given day at t hours after…

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Q: For the following functions, find (a) (f+g)(x), (b) (f − g)(x), (c) (f+g)(4), and (d) (f-g)(-3).…

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Q: Find reference number t = 8pi/7

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Q: Find the real zeros of the trigonometric function on the interval 0≤0<2n. f(x) = -3 sin (2x) + 3 sin…

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Q: Plot the following points: A (3,-3) B (4,2) Determine the Distance AC. C (-1,2) D

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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: Use an identity to solve the following equation on the interval [0,2). 2 sin2x + cos x -1=0 Select…

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

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Q: Suppose that Mark is flying a kite with the string tied to his glasses (so that it’s easy to measure…

A: Suppose that Mark is flying a kite with the string tied to his glasses (so that it’s easy to…

Q: 25. How far from the building must a ladder begin in order to rise 20 feet with a 53 angle of…

A: Topic = Trigonometry As per guidelines , At a time one question can be answered out of different…

Q: Two fire lookout towers at points A and B are 2 mi apart. Find the distances from points A and B to…

A: As we know that the law of sine for triangle is asinA=bsinB=csinC, where a,b,c are the length of the…

Q: Solve AABC subject to the given conditions, if possible. Round the measures of the angles (in…

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Q: A wheel rotates at the rate of 25 revolutions per minute. How many radians per minute does it…

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Q: 2 V9 - 4x 2 -dx

A: ∫9-4x2x2dx=-9-4x2x-∫49-4x2dx=-9-4x2x-2arcsin23xAdd a constant to the…

Q: 12 2. Given is right triangle ONP with N = 90°, tan P = - 5 angle O. N 90° find the trigonometric…

A: To find the teigonometric functions of angle O.

Q: Use an addition or subtraction formula to find the exact value in simplest form. Rationalize your…

A: We know the subtraction formula cos(A)cos(B)+sin(A)sin(B)=cos(A-B)

Q: A guy wire 1635 feet long is attached to the top of a tower. When pulled taut, it touches level…

A: Topic = Trigonometry

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Q: A steep mountain is inclined 74 degree to the horizontal and rises to a height of 3400 ft above the…

A: We will use basic trigonometric formula and Pythagoras theorem to solve the problem.

Q: Match the trigonometric expression with its simplified form. cot(x) sec(x) O sec²(x) O csc(x) O…

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Q: Does the graph of a horizontal line represent a function? Why or why not? Does it represent a…

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Q: Find the exact solution of the equation. 20 sin -1, X = 5T www The solution set is (Simplify your…

A: Given, 20sin-1x= 5π Simplifying the above equation, Dividing both sides by 20 we have, sin-1x= π/4

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…

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A: Given Integral,∫cos 2x+a cos 2x-a dx

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Q: What is the frequency of the periodic function f(x) = 5 sin()?

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Q: The Everton College store paid ​$1832 for an order of 49 calculators. The store paid ​$8 for each…

A: Topic = Algebra

Q: Approximate the magnitude of the vector and the angle 0, 0° ≤ 0 < 360°, that the vector makes with…

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