1. a. Express using index notation 5 = log10100000 b. Express in the form logab = c 26 = 64

Q: Use the adjacent figure to find the exact value of the following trigonometric function. sin 0 2 0…

A:

Q: Let a and 3 be first quadrant angles with cos(a) Find cos(a + B). = √5 10 and sin(3) √10 8

A:

Q: 1+cos x/1-cos x - 1-cos x/1+cos x=4 cot x csc x Step 1. The simplest form of the common denominator…

A: I have solved step by step in detail ....go through the solution

Q: Find the volume of the largest cylinder that fits inside a cube with edge lengths of 4.000 cm.

A:

Q: Let sin A = cos(2A) = 4 with A in QIII and find 5

A: Sin(A) = -4/5 with A is in 3rd quadrant.

Q: 4. Jason is 4.0 km from the launch pad of the space shuttle when the shuttle lifts off. Jason looks…

A: Here we are given that the distance from the launch pad of the space shuttle to Jason is 4 km. The…

Q: A car has a gas mileage rating of 52 miles per gallon in the city. Based on this rating, how many…

A:

Q: or a fixed location, the number of sunlight hours in a day fluctuates throughout the year. Suppose…

A: Given :

Q: The difference in length of a spring on a pogo stick from its non-compressed length when a teenager…

A: The solution is shown below-

Q: Use a vertical shift to graph the function. 1 y = 3 sin 3x+2

A: y=3sin13x+2

Q: Solve for x, for all solutions 0 ≤ x < 2pi. 6cos^2(x) = sin(x)+4 Give exact answers, or decimals…

A: The given equation 6cos2x=sin x+4. We have to find the values of x in the interval 0≤x&lt;2π.

Q: Let tan A = csc (2A) = 3 with A in QIV and find

A:

Q: If cos(0) = 2, , and is in Quadrant I, then what is cos()? Simplify your answer completely,…

A: Given cos(θ)=24/25  And θ is in first Quadrant. We have to find the value of cos(θ/2)

Q: The Bermuda Triangle is an area in the Atlantic Ocean east of the United States. It spans roughly…

A: I have appended the formula used in the solution part of the question. I have solve the question…

Q: 11 sin 5 sin cos 10 Find the values of 0 in the interval 0° < 0 < 360° for which 2 sin 20 = √3 sin…

A: 2sin2θ=3sin2θcos2θ

Q: You are given that cos(A) = -15, with A in Quadrant III, and sin(B) =, with B in Quadrant II. Find…

A:

Q: Consider the parametric equations given below x = t³ - 3 and y = 2t Find the value of t. Determine…

A:

Q: How do you decide whether to use a positive or negative sign in the half-angle formula for sine and…

A: Solving the following problem

Q: Use a Pythagorean Identity to find tan(x) given sec(x) = 3.1 and that x lies in the fourth quadrant.…

A:

Q: A vertical pole 29 feet tall stands on a hillside that makes an angle 16° with the horizontal.…

A:

Q: 6 45° m

A:

Q: Outside temperature over a day can be modelled as a sinusoidal function. Suppose you know the high…

A:

Q: A small office purchases bottled drinking water. The water comes in containers that hold 7 gallons.…

A: Given Let's break down the problem: The water container holds 7 gallons. Two-thirds (2/3) of the…

Q: What are the solutions to the equation on cot (3x) = -√3 Drag all solutions to the box to correctly…

A: cot3x=-3

Q: B 18. Given the coordinates (-1,423) (-1,0) (-√2,√2) 135⁰ 37 3 (-3,-1) 150° 4 5TT 6 180° π 210 7π 6…

A: Given query is to find the measurement of the angle.

Q: Solve for the side length of the square below. Round to the nearest tenth. 6 units x

A: Given,

Q: Use the power-reducing formulas to rewrite the expression as an equivalent expression that does not…

A:

Q: Fill in the blanks: 1. If tan x = -1 then tan(-x) 2. If sin x = 0.6 then sin(-x) = -.6 = 4. If tan x…

A: Solution given below

Q: Question 4 Find the exact value of COS 1 COS 3π If it is undefined, give an explanation to why its…

A:

Q: Factor and simplity. cos^(4)x-sin^(4)x

A:

Q: Solve the right triangle shown in the figure. b=4, c=9 b B a C

A: given b=4c=9in∆ABCc2=a2+b2

Q: Solve the following equation for x, where 0 < x < 2. Select the correct answer below: x = 0 only X =…

A: cos2x+8cosx-9=0formula used -cos2x=2cos2x-1

Q: √41 5 Give an exact answer in the form of a fraction. Given that sec(0) = = Provide your answer…

A:

Q: a wire from the top of a transmission tower at kwy forms a 60 degree angle with the ground at a 55…

A:

Q: n

A: vector

Q: Write the expression as a function of 0 (- (a) cos(0-270°) = (b) cos(90°+0) = (c) cos(270°+0) = (d)…

A:

Q: This exercise uses the population growth model. The count in a culture of bacteria was 600 after 2…

A:

Q: Solve the triangle shown to the right. A (Simplify your answer.) C ba (Type an integer or decimal…

A: We are required to find:A,b,c

Q: Which the following is the simplified expression of 1- sin² x a b C d cot²x -cot²x tan²x -tan²x

A: We have given an expression to simplify  Let, y=1-1sin2x y=1-csc2x y=-cot2x

Q: cos 3x sin 2x Verify the identity. 1 cscx - 2 sin x 2

A:

Q: When you stand in shallow water and look at an object below the surface of the water, the object…

A:

Q: Use a power reducing formula to simplify 32sin² acos²a. Write your answer as an equivalent…

A:

Q: Determine pairs of polar coordinates (r, 0) for the point (-6, -8). Select all that apply. 307°)…

A: Given, (x,y)=(-6,-8)

Q: Solve the equation 6cos²0-13cos 0 = -5 given that 0 ≤ 0 < 2. Provide your answer below: 0

A: Explanation of the answer is as follows

Q: What are all the solutions to the equation cos²x-sin²x = in²x-√2/22 b C d x=+zn +zn and x=+n X= Зл 8…

A:

Q: 1. Which of the following statements best describes the figure in the image below?

A: An arc whose measure is less than 180 degrees is called a minor arc. An arc whose measure is greater…

Q: How does sin(2x + (pi/2)) equal cos(2x) ?

A:

Q: Write the expression in terms of sine and cosine, and then simplify so that no quotients appear in…

A:

Q: When solving a trigonometric equation, what is the difference between finding all solutions and…

A: Solving a trigonometric equation means finding the value of variable for which the equation is true.

Q: Find the value of x to the nearest tenth Work: X 16 72⁰

A: