Complete the proof of the identity by choosing the Rule that justifies each step. (sec2x-1)csc2x = sec2x (sec2x-1)csc2x =  Step a) = tan2xcsc2x               Is the rule algebra, reviprocal, quotient, pythagorean, or odd/even? Step b) = (sin2x / cos2x) csc2x          Is the rule algebra, reviprocal, quotient, pythagorean, or odd/even? Step c) = (sin2x / cos2x)(1 / sin2x)        Is the rule algebra, reviprocal, quotient, pythagorean, or odd/even? Step d) = 1 / cos2x                 Is the rule algebra, reviprocal, quotient, pythagorean, or odd/even? Step e) = sec2x                    Is the rule algebra, reviprocal, quotient, pythagorean, or odd/even?

Q: 4. Find the cross product 7 x 7 given that d = (0, -4, 1) and ở = (1, 1, –2).

A:

Q: Find the angle between the given vectors. Round to the nearest tenth of a degree. u = -i + 4j, v =…

A:

Q: Find the distance between the two points. (2,5) (-4,3) V?] Enter the number that goes beneath the…

A:

Q: While sailing toward a statue, a sailor in a boat observed that at a certain point, the angle of…

A: Using the given data, let AB=h be the height of the statue.

Q: The equation of a cosine function with an amplitude of 3, a period of 47, and a phase shift of to…

A: Given: The amplitude of the cosine function is 3, a period is 4π, and a phase shift of π2 to the…

Q: 11 17 A c.) Find LC 18

A: This question can be solved using properties of triangle.

Q: 13л A. 1. tan 12 2. tan 12 3. tan 330° + tan tan 12 ST 1- tan 4. tan 12

A:

Q: If the vector v has initial point P, what is its terminal point? v = (0, 0, 3), P(0, 3, -3) (x, y,…

A: Let's find.

Q: This problem refers to triangle ABC. If a = 100 inches, b = 64 inches, and C = 60°, find c. (Round…

A:

Q: find and graph one period of the periodic sine function with amplitude 3, period pi/3, and phase…

A: The standard form of Sine function is given by, y=a(sin(b(x-h)))+k where, a is amplitude  2pi/b is…

Q: If cos A=1/2 with A in QIVfind the following sec A/2 2. If sin A=5/13 with A in QII find the…

A: To find the angle from the given angle values.

Q: Use an Addition or Subtraction Formula to find the exact value of the expression. cos(165°)

A:

Q: What sum is equivalent to 4sin(3θ)sinθ?

A:

Q: -3 x²(x² + 5)

A:

Q: Write the expression as an algebraic expression in x for x > 0. 3 sin(2 sin−1 x)

A: We will use trigonometric concepts to write algebric expression

Q: Which among the trigonometric functions is best to use in solving side b. A.)tangent, B.)sine,…

A:

Q: If  sin(x) =  1 16  and x is in quadrant I, find the exact values of the expressions without…

A: Solved below

Q: Let v= - 3i + 2j and w = -i- 4j. Find 4v – 7w. 4v - 7w = |(Simplify your answer. Type your answer in…

A: Given v = -3i + 2j and w = -i - 4j.

Q: 4. p° In(p) dp

A:

Q: -. Solve each triangle. B 29 41° 13 A

A: As per the company guidelines We can first question only. Please understand. Kindly repost the…

Q: Let v be the vector from initial point P1 to terminal point P2. Write v in terms of i and j. P1 =…

A:

Q: Simplify the inverse trigo functions y = arctan(cot4x)

A:

Q: Solving Quadratic Equation by Comple 4) x? - 6x - 8 = 0 Move c equatic

A:

Q: Use half-angle formulas to find an exact value for the following. sin 22.5°

A: Use the trigonometric half angle formula and find the exact value.

Q: Question Given that cos(x) = 0.42, what is cos(-x)? %3D Provide your answer below: 7 8 y 4 •…

A: Given query is to find the value of the indicated function.

Q: Evaluate the expression: sin (arctan 2)

A:

Q: Determine two pairs of polar coordinates for the point with 0° <0 < 360. 20) (3, - 3)

A: Given query is to find the polar coordinates.

Q: Find the fifth roots: 2(cos () + i sin (#))

A: To find the fifth roots: 2cosπ4+i sinπ4

Q: Given u⃗ =−4i−10j and v⃗ =7i−3j, find u⃗ +v⃗ . Give your answer in the form ai+bj.

A:

Q: 4. Find the value of side y. A 27 cm. B. 28.6 cm. C. 29.6 cm. D. 30.6 42 22 cm 5. In triangle MNO,…

A:

Q: The vector w⃗  is 8 units long and makes an angle of 39∘ with the positive x-axis. What is the…

A: We have to find the component form of vector w.

Q: B. Independent Assessment 1 Using figures 1 and 2, match each trigonometic concept found in Column A…

A: sin(theta) = Perpendicular/Hypotenuse Cos(theta) = Base/Hypotenuse tan(theta) = Perpendicular/Base…

Q: Which of the following formulas are NOT correct? Choose two(2) answer sinA sinB =-1/2…

A: We can write the correct option as below

Q: Two planes leave an airport at the same time. Their speeds are 140 miles per hour and 170 miles per…

A:

Q: Question Given that x(t) = -2t – 10 and y(t) = 10t + 3, which of the following gives a Cartesian…

A:

Q: Find the horizontal and vertical components of the vector with the given length and direction, and…

A:

Q: sin-(x) dr

A:

Q: Verify that the equation is an identity. cos 2x = coS X cot x- sin x sin x To verify the identity,…

A:

Q: 1. Determine the correct formula for tan ratio of 8. adjacent opposite B tan 9 = A. tan 8 = adjacent…

A: Given

Q: 16 b.) Find "h" 14 Ø 18

A: Solving the problem by finding the value of h.

Q: A 228 ft tower is located on the side of a mountain that is inclined 36 to the horizontal. A guy…

A: Given problem:-

Q: Find the magnitude and direction (in degrees) of the vector. (Assume 0° < 0 < 360°.) v = 6i + 2/3j…

A:

Q: 4. Solve each of the following trigonometric equations, giving exact values where possible or…

A:

Q: Find the specified vector or scalar. u = -5i - 2j, v = 9i + 7j; Find u - v. O -14i - 9j O 4i + 5j O…

A:

Q: Find all solutions in radians. Approximate your answers to the nearest hundredth. (Let k be any…

A:

Q: Use the calculator to determine angle values. Round off your answer to two decimal places. I. sin…

A: We can answer all the three parts as below.

Q: Expand the logarithm fully using the properties of logs. Express the final answer in terms of log x,…

A:

Q: iminate the parameter in the parametric equations x(f) = 5t – 8 and y(t) = Vt – 5 to find a…

A: Given query is to find the Cartesian equation.

Q: 2 1 3 4

A: A pair of vertically opposite angles are always equal to each other.

Q: Complete the proof of the identity by choosing the Rule that justifies each step. cos2x-sin2x =…

A: cos2x-sin2x =    Step a) = cos2x-(1-cos2x)          Pythagorean   Step b) = cos2x-1+cos2x…