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Dmitrij [34]
3 years ago
9

Do all perpendicular lines have negative reciprocal slopes?

Mathematics
1 answer:
inna [77]3 years ago
6 0

Not necessarily, the more correct definition is opposite reciprocal slopes.

The example used is how horizontal and vertical lines are parallel. Horizontal lines have a slope of 0, also written as 0/1. However, vertical lines have an undefined slope, which isn't necessarily negative. It has a slope of 1/0, which is undefined. In this case, the reciprocal isn't negative.

In all other cases (1 and -1, 2 and -1/2, etc.) yes, the perpendicular pairs are negative and reciprocal.

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Step-by-step explanation:

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Relationship between the sines and cosines of complementary angles
SVEN [57.7K]

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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I'll be glad to assist you.

Step-by-step explanation:

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