Text: ACTIVITY ONE
Copy and complete the table of function values shown below. If the function is undefined at the given angle, enter 'UND'. Do not use a calculator.
37
sin 0 cos 0 tan 0 Csc 0 Sec 0 cot 0
Using suitable substitution, show that
sin 15° = (√2 - √3).
By writing 30° = 20° + 10°, show that
sin 30° = 3(sin 10° - sin 20°).
Hence or otherwise, for 0 < θ < 2π, solve
8sin²θ + 6sinθ + 1 = 0.
Give your answers in terms of θ.
Sketch the graphs of the following functions defined in the interval [0, 27]. What is the period of each function?
(i) f(θ) = sin(θ)
(ii) y = cos(θ) + 1