# Find the principal solutions of cosec x = 2 - Mathematics and Statistics

Sum

Find the principal solutions of cosec x = 2

#### Solution

cosec x = 2

∴ cosec x = "cosec" (pi/6) and cosec x = "cosec" (pi - pi/6)

= "cosec" ((5pi)/6)

such that 0 ≤ pi/6 < 2pi and 0 ≤ (5pi)/6 < 2pi

∴ The required principal solutions are x = pi/6  and x = (5pi)/6.

Concept: Trigonometric Equations and Their Solutions
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