Task 8

Overview: Dear writer, you are to provide solutions for the following problems:

1. In the triangle ABC , 6AB cm and 9BC cm. Given that the area of the triangle is 18 cm 2 , find the possible values of the angle B .

2. Find the exact value of tan30(6sin1354cos210)

, giving your answer in the form

6ab .

3. Show that for a small angle

, measured in radians, 3sin3(1cos2)6 .

4. Prove that

22 3sin(3sin4cos) 3coscos

tan

.

5. Simplify (36 + 4 . 27 4 - 18) 5. 6. Proper aerobic exercise involves exercising at a person's correct training heart rate. To find the correct training heart rate the following formulas are used. a. Training heart rate = (maximum heart rate - resting heart rate) 0.65 + resting heart rate b. maximum heart rate = 220 - person's age Find the training heart rate for a 50-year-old with a resting heart rate of 65 beats per minute

7. Translate the following into an algebraic expression: the sum of five times a number and three

8. Solve 4(x + 1) = -15. 9. Evaluate | y + 7 | if y = -2.