Topic explanation

Standard explanation

-1 <= sin(anything) <= 1. Multiply by 7: -7 to 7. a + b sin theta: [a-|b|, a+|b|]. Shift then stretch.

Key points

• stretch |b|, shift a
• domain of sin, cos: all real
• range [-1,1]
• c does not change range of a cos(cx)
• RANGE OF SINE AND COSINE: -1 <= sin(anything) <= 1. Multiply by 7: -7 to 7. a + b sin theta: [a-|b|, a+|b|]. Shift then stretc
• RANGE: -1 <= sin(anything) <= 1.
• WHAT — RANGE OF SINE AND COSINE: -1 <= sin(anything) <= 1. Multiply by 7: -7 to 7. a + b sin theta: [a-|b|, a+|b|]. Shift then stretc
• WHY — Why it matters: This rule is a separate learning unit inside domain and range of sin and cos. It can be defined, app

Labelled diagram