Given sin theta = -1/4 and theta is in quadrant 3. tan theta =

Q: Determine the coordinates of image point after a rotation of 25 degrees about (0,0) from point (4,0)

A: Use rotation matrix

Q: An airplane took off from an airport and traveled at a constant rate and angle of elevation. When…

A:

Q: A walkway forms one diagonal of a square playground. The walkway is 20 m long. How long is a side of…

A: A detailed solution is given below.

Q: 4. AC = AB= ZB= C 63 15 B

A: Here we have to find the remaing values of triangle

Q: 17. Given 0 ≤ 0 ≤ 21, solve tan'e sine tan'e = 0

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Q: f(x) = −cos (x + 180°) g(x) = 7 sin(4x - 120°) - 8 Amplitude Period Phase Shift Axis Maximum of the…

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Q: Find the indicated power. Write the answer in standard form. [2(cos 240° + i sin 240 degree)]^8

A: Given problem:- Find the indicated power. Write the answer in standard form. [2(cos 240° + i sin 240…

Q: 3) State the amplitude, period, phase shifts, and equations, in terms of sine and cosine, for each…

A: The equation here is given by: y=Asin(B(x+c))+D Where amplitude A=Max-Min2=-1-(-5)2=-1+52=42=2

Q: Laura is flying a kite at a local park. She let's out 60 m of her kite string,which makes an angle…

A: As we know that  Sinθ=HeightHypotenus implies that   Height=Hypotenus×sinθ

Q: X Оп = 0 = 0.7853 = 1.5707 3 л = 2.3561 4 n = 3.1416 1 4 л 2 f(x)= sen (2x) f(0п) = sen(2x0) = 0…

A:

Q: Given 0° 0 ≤ 360°, solve 4 tane

A: We need to find all possible solutions satisfying the condition 0°≤θ≤360°

Q: 16.6 30° 17.5 42.5°

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Q: (26-30)Solve the unknown side of the given right triangle and give the six trigonometric ratios of…

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Q: 2. 1² +2²+ 3² + . . . + n² = n(n+1)(2n+1) 6

A: To prove: 12+22+32+…+n2=n(n+1)(2n+1)6 Let Sn = 12+22+32+…+n2 ; fn=n3 Now, fn-fn-1 = n3-n-13 ⇒fn-fn-1…

Q: Show the given problem. Make sure to show your solution A ladder 9 meters long leans against the…

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Q: Use given triangle to fill in the blank. tan X= tan X=|| ▼ | 5-3 12-5 12 11 13 13 X 13 12 Y

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Q: 4. When A + B + C = 180°, show that sin 2A + sin 2B + sin 2C = 4 sin Asin B sin C

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Q: If X = 3 - j2     and    Y = 3 + j2   convert your pair of complex numbers to polar form

A: For X=3-j2:

Q: Let f(x) = 4x + 5 and g(x)=x²-x+4. Perform the function operation and then find the domain.…

A: SOLUTION-

Q: Name the quadrant in which the angle 0 lies. sin 0>0, tan 0 <0

A: As we know from the quadrant rule; In the 1st quadrant, all trigonometric functions are positive. In…

Q: A cable man is looking down from the top of a telephone pole at an angle of 14°. The pole is 30 feet…

A: where , x= horizontal distance from the bottom of the pole

Q: Match the given information with the appropriate inverse trigonometric ratio to determine m/B. 1.…

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Q: 42° HEIGHT 40 ft 36°

A: In this question, we want to find the height of the tree from the given figure.

Q: Determine the algebraic sign of the given trigonometric functions. Tan (-91°), csc 87°, cot 103°

A:

Q: If DEFG is a rhombus and measure of EDG = 4x+6 degrees, find the value of x

A: We need to find x.

Q: The plane The plane that passes (0, 1, 5), (2. -1, 6), and (3, 2, 5). through points

A: Given:  Points: ( 0 , 1 , 5 ) , ( 2 , -1 , 6 ) , ( 3 , 2 , 5 )

Q: How many values of θ in radians between −2π and 2π satisfy sin(θ) = 1/2?

A:

Q: ** Airport B is 300 mi from airport A at a bearing N 50° E. A pilot wishing to fly from A to B…

A: Given

Q: The function Sin-' has domain. The function cos- has domain The function tan-' has. domain. '} &…

A: We have to find the domain. And range

Q: 1) Graph f(x) = 3* Fill in the table of values, then graph points and curve. x y 2 3²= 3¹= 3⁰= 3¹=…

A: We need to graph given function.

Q: The angle of elevation of point C from point B is 29 degrees; the angle of elevation from C from…

A:

Q: Evaluate (-12-1³) 15

A: Use De moivers theorem

Q: Condense the expression below into a single logarithm. 7.In 3. 3- In 81

A: Topic:- algebra

Q: 3. Which expression is equal to O - cos²x sin² x O - sin²x O cos²x secx sin x cotx+tan x using…

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Q: Use Figure 1 to evaluate each trigonometric function of angle A. The side adjacent to angle A has…

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Q: Solve for the remaining unknown angle/side of the triangle.Round your

A: Given: a=17b=19c=14

Q: Find the equation of the parabola with focus at (3, 4) and directrix x = 1. Write the equation in…

A: Find out the equation of the parabola.

Q: The flanged steel cantilever beam with riveted bracket is subjected to the couple and two forces…

A:

Q: A 12 feet ladder leans against the wall of a building and touches the bottom of a window that is 10…

A: We have to determine the angle of ledder with the ground

Q: 5. Simplify. tanx (cscx - sin x)

A:

Q: List the possible rational zeros os of f. Then determine all the real zeros of f. f(x) = 15x³ - 26x²…

A: We have to find the zeros

Q: T) is: ce, c- Compact space, d- No one. off space is: set, d- Not necessary.

A:

Q: 16. Given 0 0 2π, solve 2sin 03sine + 1 = 0

A:

Q: 50 Evaluate Σ (5 + 2i) i=1

A: Solution is done in step 2

Q: Consider a triangle ABC like the one below. Suppose that c = 18, a=21, and C=31°. (The figure is not…

A:

Q: 1. Provide a visual proof of the Pythagorean theorem. 2. Write the ratio of the following…

A: 1 here for pythagoren theoram proof  242 + 72 = 252 576 + 49 = 625 = 252  so here the pythagorean…

Q: 2. a) Determine the equation of the graph below in terms of the sine function. 00 270 530

A: Explained below

Q: 9. The angle of elevation of the top of the building is 50%. If the observer is 90 m from the base…

A: 9. In this question, we need to find the height of the building. 10. In this question, we need to…

Q: Q/// irrational numbers is connected or disconnected in R

A: Irrational numbers is disconnected in R.

Q: C 2. Solve the following triangles using the Sine Law and the Cosine Law. a. AABC, where LB = 60°,…

A: ∆ABC has measures ∠B=60°, AC=30 and AB=25.2