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Solve Trigonometric Equations When the Values of the Variable Lie Between 0 and 90
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Solve Trigonometric Equations When the Values of the Variable Lie Between 0 and 90.

Table Values of sin, cos, tan, cosec, sec and cot at various degree of angles (0, 30, 45, 60, 90)
0 30 45 60 90
Sin 0 1/2 1/2 3/2 1
Cos 1 3/2 1/2 1/2 0
Tan 0 1/3 1 3 Not Defined
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Example: Solve each of the following equations when 0 < < 90
(i)2 cos = 1
(ii) 3 tan2 - 1 = 0
Solution:
(i) You have,
2 cos = 1 cos = 1/2 = = 60

(ii) You have,
3 tan2 = 1
tan2 = 1/3 tan = 1/3 ... [tan > 0 for 0 < <90]
= 30
 
   
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