Unit 3 - Day 3

Day 3

Daily Objective:

Sine, Cosine, Tangent and their inverse continued Sin/Cos of complementary angles.

Figure 7

Quiz

1. Using Figure 7 determine angle x.

2. Using Figure 8 determine angle x.

3. Using Figure 9 determine angle x.

Figure 8

Figure 9

Answers

1. Firstly, set up the problem 7/8 x x/6 and cross multiply. That will give you 8x/56 and then divide that number by 8 and that will give you the hypotenuse for the smaller triangle. You'll then want to divide the 6 by the 7 and then use the
sine-1 function which will give you a final answer of 59 degrees.

2. You have to set this problem up the same way as the first one. 3/4 x x/8 and cross multiply to get 4x/24 and divide by 4. Take the 6 that you just got and divide that by 8, leaving you with .75, which you will then use the tangent-1 function on to get a final answer of 36.87 degrees.
3. You first set up the problem like x/5 x 9/4 and cross multiply to get 40/4x. Divide that by 4 and you'll get 10. Divide the 5 by the 10 to get .5 and then use the sine-1 function to find the final angle of 30 degrees.