If x is an integer in the first quadrant and sin(x)=3/4 find sin(2x), cos(2x), and tan(2x)

Answer:

[tex] \sin(x) = \frac{ 3}{4} \\ {sin}^{2}(x) + {cos}^{2}(x) = 1 \\ {cos}^{2}(x) + {( \frac{3}{4} )}^{2} = 1 \\ {cos}^{2}(x) = 1 - \frac{9}{16} = \frac{7}{16} \\ cos(x) = \frac{ \sqrt{7} }{4} \\or \\ {4}^{2} - {3}^{2} = {a}^{2} \rightarrow {a}^{2} = 16 - 9 = 7 \\ a = \sqrt{7} \\ cos(x) = \frac{ \sqrt{7}}{4} \\ \tan(x) = \frac{ \sin(x) }{ \cos(x) } = \frac{ \frac{3}{4} }{ \frac{ \sqrt{7} }{4} } = \frac{3}{ \sqrt{7} } \\ \sin(2x) = 2 \sin(x) \cos(x) \\ = 2( \frac{3}{4} . \frac{ \sqrt{7} }{4} ) \\ \sin(2x) = \frac{3 \sqrt{7} }{8} \\ \cos(2x) = { \cos(x) }^{2} - { \sin(x) }^{2} \\ = 1 - 2 { \sin(x) }^{2} \\ \tan(2x) = \frac{ \sin(2x) }{ \cos(2x) } [/tex]

The area of a rectangle is 33 m”, and the length of the rectangle is 5 m less than double the width. Find the dimensions of the
• rectangle

Which of the following rules describes the function graphed below

luz Maria has $15. She buys a ticket to a movie and a smoothie. How much money does she have left?
Ticket:$9.50
Popcorn:$4.50
Smoothie:$2.85

what is the solution to the problem? show the equations you used to solve the problems

If m of 8 = 23 degrees, find each measure. Give your reasoning. (Just need the rest of the answers.)

If these springs aren’t under the rocking chair and there’s none will you end up falling out of the rock chair when your sitting on it?
Answer ASAP

What fraction represents a repeated number?

The table below represents a linear function f(x) and the equation represents a function g(x):


x f(x)

-1 -9

0 -1

1 7


g(x) = 3x-2


Part A: Write a sentence to compare the slope of the two functions and show the steps you used to determine the slope of f(x) and g(x).


Part B: Which function has a greater y-intercept? Justify your answer.


Please hurry as I only have a few hours left too turn in :) Thank you.

Please help! I must match the numbers on the left with all appropriate number sets on the right . A number on the left may match with more than one number set on the right. I been stuck on this forever

Find T4, given the recursive formula Tn+1=T, * -2, where T1=5 and n=1,2,3,...
O 40
0-3
0-80
O-40

what is the opposite of division

This section is worth 5 points of 25 total.
Find the least common multiple. Drag the item from the item bank to its corresponding match.
ITEM BANK: Move to go
5, 15, and 35
drag and drop answer here
105
8, 12, and 22
126
drag and drop answer here
264
3,7, and 18
drag and drop answer here
42
5,6, and 7
drag and drop answer here
10
3,6, and 7
drag and drop answer here
ge 1

Suppose that f(x) = 3x + 5 and g(x) = -2x + 15
A: Solve f(x)=0
B:Solve f(x) < 0
C:Graph y = f(x) and y = g(x) and label the point that represents the solution to the equation f(x) = g(x)


In parts a-f use the following figure (graph shown in picture)

A: Solve g(x) = 20
B:Solve g(x) = 60
C: Solve g(x) = 0
D:Solve g(x) > 20
E: Solve g(x) _< 60
F:Solve 0 < g(x) < 60

In parts A and B, use the following figure (graph shown in picture)

A:Solve the equation f(x) = g(x)
B: Solve the inequality g(x) < f(x) _< h(x)

Marcus has a part-time job at the water park. He makes between $66.89 and $72.37 a day. Which is a reasonable amount of money that Marcus makes for working 4 days a week for 9 weeks?
A.
$2,487
B.
$250
C.
$2,369
D.
$2,641

Need help with questions
2. and 3.

TWO DVDs and one videocassette tape cost $72. One DVD and two videocassette tapes
cost $57. What is the price of each item?

please help with maths​

If the diameter of a circle is increased by 6 centimeters, what is the increase in the circumference of the circle?

Find the measure of the missing angles.

What is negative 12 minus negitive 5 in kcc

A spaceship travels a 5^2 miles per hour and traveled for 5^18 hours.
Select the answer that represents how many miles the space shop traveled.

A. 5^16
B. 5^9
C. 5^20
D. 5^36

I needed a new TV. I have been looking at ads. I found one that was on sale, from $324.99 to $299.99. I know they are having a 20% off sale next week but if this is a better deal I want to take it! What percentage off is the TV?

Find the H.C.F and L.C.M of 65 and 105​

i put brainliest now can u help?

Solve 7,124 Divided by 26 =_______ using standard algorithm

a rectanglr has a perimeter of 18 cm. its length is 5 cm greater than its width. find the dimensions.

2. Railyn is saving for a laptop computer. She already has
$800 saved and plans to save $50 a week from her baby
sitting money. If the laptop she wants costs $1,150, how
many weeks will it take her to save enough to buy it?
a. Define the variable and represent the situation with
an equation.

If m < C is greater than m < E, then Line segment A B is ________ Line segment D F.
congruent to


longer than


shorter than


the same length as

Highest common factors of 42,72,and 56

How do I graph y=2 on a graph

0,1,3,14,28,45 điền số tiếp theo