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1. What are the three sides of a right angled triangle known as with respect to

ID: 1661362 • Letter: 1

Question

1. What are the three sides of a right angled triangle known as with respect to an angle?

2. Define Sine, Cosine and Tangent of an angle.

3. If the two sides of a right angled triangle are 6 cm and 8 cm, what is the length of the hypotenuse?

4. What are the maximum possible values for sine, cosine and Tangent?

5. In the example beginning at 3:51, Find AB& BC if the angle theta = 30 degrees and AC = 10 cm.

6. In the example beginning at 6:15, If the velocity is 5 m/s and the angle is 45 degrees, Find AC and BC.

7. Use your calculator to find the values of SIne, Cosine and Tangent for the following angles:

a) 0, 30,45,60,90 (all in degrees)

b) Do you notice any pattern? If so describe the pattern in your own words.

Explanation / Answer

1) side opposite to the right angle is called hypotenuse

side adjacent to right angle triangle are called legs

2) sine = height / hypotenuse

cosine = base / hypotenuse

tangent = height / base

3) length of hypotenuse = sqrt(6^2 + 8^2) = 10 cm

4) maximum value of sine and cosine is 1

maximum value of tan is infiite