Question

A right triangle has side lengths 3, 4, and 5 as shown below.
Use these lengths to find tan B, cos B, and sin B.
tan B =
0
0
os
Х
Cos B =
5
?
5
sinB =
A

Answer 1

The length of tan B, cos B and sin B are as follows:

sin B = 3 / 5

cos B = 4 / 5

tan B = 3 / 4

Right angle triangle

Right angle triangle are triangle that has one of its angle as 90 degrees.

Therefore, the length are 3, 4 and 5 . The trigonometric ratios can be found as follows

• sin ∅ = opposite / hypotenuse
• cos ∅ = adjacent / hypotenuse
• tan ∅ = opposite / adjacent

hypotenuse = 5

opposite sides = 3

adjacent side = 4

Therefore,

sin B = 3 / 5

cos B = 4 / 5

tan B = 3 / 4

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