A right triangle has the following. AB=20, AC=99, CB=101. sin B=?, cos B=?, tan B=? reduce your answers as fractions if possible

Question

Mathematics

Camila

26 February, 03:56

A right triangle has the following. AB=20, AC=99, CB=101. sin B=?, cos B=?, tan B=? reduce your answers as fractions if possible

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Answers (1)

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Kaleb Adams · Answer 1

The editor is doing strange things. I have to start over.

Are we working with a right triangle?

Use a^2 + b^2 = c^2 to find out. The right angle is opposite
b = 99

c = 20

a = 101

99^2 + 20^2 = 101^2

9801 + 400 = 10201 but 101^2 = 10201 so we are working with a right angle triangle.

Find the trig functions.

Sin (B) = opposite / hypotenuse = AC/BC = 99/101

Cos (B) = adjacent / hypotenuse = AB / BC = 20/101

Tan (B) = opposite / adjacent = AC/AB = 99/20

If these are not your answers, try putting in the decimal form

Sin (B) = 0.9802

Cos (B) = 0.1980

Tan (B) = 4.95