A. MATH CHAP 8 (8.4-8.8) completed

A. MATH CHAP 8 (8.4-8.8) completed

1. 8.4: GRAPHS OF TRIGONOMETRIC FUNCTIONS:

   • y = sin x graph
   • y = cos x graph:
   • y = tan x graph:

2. 8.5: FURTHER TRIGONOMETRIC GRAPHS:

   • SINE:
     • y= a sin x graph
       • changes AMPLITUDE ( y-coordinate of the max and min points)
     • y= sin b x graph
       • CHANGES THE PERIOD
     • y = sin x + c graph
       • SAME AS y = cos x + (-) c
       • CHANGE THE MAX AND MIN POINTS
   • COSINE:
     • y = a cos x graph
       • CHANGES AMPLITUDE
     • y = cos b x graph
       • SAME AS GRAPH y = sin b x
       • CHANGES THE PERIOD
     • y = cos x +(-) c grpah
       • CHANGE THE MAX AND MIN POINTS

3. 8.6: graph of y = lf(x), where f(x) is trigonometric

   • how to draw y = lf(x), where f(x) is trigonometric?
     • steps:
       • 1) draw y =f(x) graph
       • 2) reflect the negative part of the graph( below the x-axis) to above the x-axis

4. 8.7: COSECANT, SECANT AND COTANGENT RATIO

   • COSECANT 0 = COSEC 0 = 1/sin 0
   • SECANT 0 = SEC 0 = 1/cos 0
   • COTANGENT 0 = COT 0 = 1/ tan 0 = cos 0 / sin 0

5. 8.8: trigonometric equation

   • how to solve trigonometric eq?
     • 2 ways to solve trigo eq.
       • quadrant method (ASTC) :
       • finding the principal value method:
         • e.g. sin x = k
           • x = sin^-1 (k)
             • the value obtained (ans) in the range of -90 < sin^-1 (k) < 90 = PRINCIPAL VALUE

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