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3 years ago

Verify (2cos2x)/(sin2x) =cotx - tanx

1 answer:

6 0

Cos2x = (cosx)^2 - (sinx)^2;
sin2x = 2sinxcosx;
Then, (2cos2x)/(sin2x) =2[ (cosx)^2 - (sinx)^2 ] / (2sinxcosx) = [ (cosx)^2 - (sinx)^2 ] / (sinxcosx) = (cosx)^2 / (sinxcosx) - (sinx)^2 / (sinxcosx) = cosx/sinx - sinx/cosx = cotx - tanx;

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A room in the lower level of a cruise ship has a circular window with a diameter of 30 inches. Find the total area of the window

jeka57 [31]

A≈2827.43 i’m pretty sure

5 0

3 years ago

How many solutions does the following equation have? -1/3x2=5/6+1/3y2 5y2=25/2-5x2

Phantasy [73]

The system of equations have 2 solutions

<h3>How to determine the number of solutions?</h3>

The system of equations is given as:

-1/3x² = 5/6 + 1/3y²

5y² = 25/2 - 5x²

Next, we plot the graph of the system of equations.

From the attached graph, the equations intersect at two points

Hence, the system of equations have 2 solutions

Read more about system of equations at:

brainly.com/question/12895249

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2 years ago

If Jeremy drinks 1 1/2 quarts of coffee every 3 days, how many liters of coffee would Jeremy drink in 3 weeks? (1 quart = 0.946

Nostrana [21]

Answer:

9.93 liter approximately 10 liter

Step-by-step explanation:

3 days = 3/2 quart

3 week = 3/2/3 × 21 quarts

= 1/2×21

=21/2 quarts

now

1 quart = 0.946 liter

21/2 quart = 0.946×21/2 liter

21/2 quart = 9.93 liter

8 0

2 years ago

Frankie and Gus swam for 10 minutes. When the time was up, Frankie had completed 10 7/10 tags and Gus had completed 10 4/5 laps.

telo118 [61]

Answer:

Step-by-step explanation:

10 4/5 = 10.8

10 7/10 = 10.7

Frankie did not swim the longest distance.

Gus did.

10.8>10.7

7 0

3 years ago

Logan is a land surveyor. He wants to determine d, the distance across a lake that cannot be directly measured. He draws this di

Mice21 [21]

Answer:

The first option (5.7km)

Step-by-step explanation:

Since we have a right angle triangle and we know two of its sides we can easily find out the thirds side (the value of d) by using the Pathagoras Theorem. In our case 7 and d are our legs and the hypotenuse is equal to 9, so...

(Based on the Pathagoras Theorem)

$c^{2} = a^{2} + b^{2}$

$9^{2} = 7^{2} + d^{2}$

$d^{2} = 9^{2} - 7^{2} \\d^{2} = 81 - 49\\d^{2} = 32\\d = \sqrt{32}\\$

d ≈ 5.7km

There for aproximate distance across the lake is equal to 5.7km

7 0

3 years ago

Read 2 more answers