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Delicious77 [7]
1 year ago
9

Relationship between the sines and cosines of complementary angles

Mathematics
1 answer:
SVEN [57.7K]1 year ago
7 0

The trigonometric ratios have been determined and the angles T and U are complementary.

<h3>What are Trigonometric Ratios?</h3>

Trigonometric Ratios are ratios of the side of a right-angled triangle. These are used to find the missing sides and angles of a right-angled triangle.

A right-angled triangle is a triangle with a measure of one of the angles as 90 degrees.

The triangle TUV is a right-angled triangle, the sides of the triangle are t, u, and v.

Part 1:

The angle T is not equal to angle U.

But by the angle sum property,

T + U + V = 180

T + U = 90

Both the angles are complementary.

Part 2:

The trigonometric ratios are as follows:

sin T = t/v

cos T = u/v

sin U = u/v

cos U = t/v

Part 3:

From the data in part 2,

Options C and D are the correct statements.

sin T = cos U

cos T = sin U

Part 4:

sin 37 = cos ( 90-37)

sin 37 = cos 53

To know more about Trigonometric Ratios

brainly.com/question/1201366

#SPJ1

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Answer:

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Step-by-step explanation:


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A family is planning a three-week vacation for which they will drive across the country. They have a van that gets 12 miles per
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Answer:

The family will pay 34722 cents more if they take the van

Step-by-step explanation:

Given

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Distance = 2500 miles

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First, we need to determine the number of gallons that'll be used by both vehicles

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Van = \frac{2500}{12} \ gallon

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Next, is to multiply this by the cost of gas per gallon;

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Van = \frac{2500}{12} * \$2.50

Van = \frac{\$6250}{12}

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Next is to get the difference between these amounts

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Difference = \$347.222

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<em>The family will pay 34722 cents more if they take the van</em>

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Step-by-step explanation:

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