Question

Find the values of the trigonometric function for the following: cosec ($-1410\textdegree$).

Answer 1

Given, cosec( - 1410° )

we know, cosec( - x ) = - cosecx.

so, cosec(-1410°) = -cosec1410°

= -cosec(4 × 360° - 30°)

we know, cosec(n × 360° - x) = -cosecx. where n is an integer .

so, -cosec(4 × 360° - 30°) = -{-cosec30°}

= cosec30° = 2

hence, cosec(-1410°) = 2