1 Express in radian
70
135

Assumed Knowledge

Motivation

Content

Angles in the four quadrants

The four quadrants

The reciprocal ratios

Angles of any magnitude

Finding angles

The trigonometric functions and their symmetries

Links Forward

Trigonometric equations

Radian measure

Calculus

Simple harmonic motion

History

Answers to Exercises

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ASSUMED KNOWLEDGE

Familiarity with the material in the modules, Introduction to Trigonometry

and Further Trigonometry.

Knowledge of basic coordinate geometry.

Introductory graphs and functions.

Facility with simple algebra, formulas and equations.

answer: c, the green line

step-by-step explanation:

there is no black line, eliminate b.

simple interest implies periodic payments, but the red line shows no payments, eliminate d.

simple interest has equal payments. if paid say every day, the graph is about a straight line (actually a stairstep).

the yellow line is not straight, eliminate a.

check: the green line is straight, answer is c.

simple interest with positive interest rate gives a straight line sloping up to the right. green line:

g(t) = $100 + ($200-$100) ÷ (20 years) × (t years)

= $100 + (4%/year) × ($100)(t years)

incidentally, the yellow line curving upward represents continuously compounded interest

y = $100 × 2^(t years / (14 assuming the yellow line hits $200 at 14 years. 2^0 is 1, so y(0) = $100; 2^(14/14) is 2, so y(14) = $200.