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Right Triangles: Sine, Cosine, Tangent

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Angles and side ratios in right triangles

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Right Triangles: Sine, Cosine, Tangent
 

Right Triangles: Sine, Cosine, TangentOnline version

Angles and side ratios in right triangles

by sherly adlina
1

In a right-angled triangle with an acute angle A, which side is opposite to angle A?

2

Which side is adjacent to angle A in the same triangle?

3

Define sine of angle A in a right triangle.

4

Define cosine of angle A in a right triangle.

5

Define tangent of angle A in a right triangle.

6

If sin A = 3/5, which relationship holds?

7

If cos A = 4/5, which is true about adjacent and hypotenuse?

8

What happens to sine, cosine, and tangent as angle A increases from 0° to 90°?

9

Given right triangle with angle A, if opposite=3 and adjacent=4, what is tan A?

10

Which statement is true about acute angles and side ratios in right triangles?

Feedback

Opposite side is the one not touching angle A, across from it.

Adjacent side touches angle A and the hypotenuse.

Sine is the ratio of opposite side to hypotenuse.

Cosine is adjacent over hypotenuse.

Tangent is the ratio of opposite to adjacent.

Sine relates opposite and hypotenuse: opposite = sin A × hypotenuse.

Cosine gives adjacent relative to hypotenuse.

Sine increases, cosine decreases; tangent increases.

Tan A = opposite / adjacent = 3/4.

Angles define ratios: sin, cos, tan describe side relations.

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