Principal and general solution of trigonometric equations

GRADE 11 MATHEMATICS
SOLVING TRIGONOMETRIC EQUATIONS
PRINCIPAL AND GENERAL SOLUTION

1. Principal and general solution of trigonometric equations [email protected]

2. The solutions lying between 0 and 2 π for the trigonometric equations are called principal solutions. Ex Find the principal solution of [email protected]

3. A S T C sin is positive in the 2 nd quadrant Principal solutions are π /2 π 3 π /2 [email protected]

4. Find the principal solution of cosec x = -1 sinx = -1 x = 3 π /2 This is the only value in [ 0, 2 π ] (principal solution) [email protected]

5. General solution of sinx = 0 is x = n π General solution of cos x = 0 is General solution of tanx = 0 is x = n π [email protected]

6. Find the general solution of [email protected]

7. Find the general solution of [email protected]

8. General solution of sinx = sin α is General solution of cos x = cos α is [email protected]

9. General solution of tan x = tan α is Find the general solution of [email protected]

10. [email protected]

11. Find the general solution of sin 9x = sin x sin 9x – sinx = 0 2 cos 5x sin 4x = 0 [email protected]

12. cos 5x = 0, sin 4x = 0 , [email protected] *****************

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