☰ Contents · Mathematics

Periodic processes, sine and cosine

Lessons 28–29 Β· 2 lessons Β· M. A. Mirzaahmedov, Sh. N. Ismailov, A. Q. Amanov (algebra and analysis), B. Q. Haydarov (geometry). Mathematics Grade 10, Parts 1 and 2, 1st edition. EXTREMUM PRESS, Tashkent, 2017
Answers are for parents and teachers.
1
For x = 0, 1, …, 8 a table gives y = 0, 4, βˆ’2, 0, 4, βˆ’2, 0, 4, βˆ’2. State the period, midline and amplitude.
2
If f(x + 5) = f(x) and f(3) = 7, find f(23).
3
Find the greatest and least values of y = 4 sin x βˆ’ 1.
4
Write 225Β° in radians.
5
Find the period of y = cos 4x and explain why it is not 2Ο€.