1. In the
18cm2, find the possible values of the angle B .
2. Find the exact value of tan30 (6sin135 4cos210 ) , giving your answer in the form
6 ab .
3. Show that for a small angle , measured in radians, 3 sin3 (1 cos2 ) 6 .
4. Prove that
2 2
sin (3sin 4cos ) 3
3cos cos
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.
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