Answer the following: State the signs of cosec 520° - Mathematics and Statistics

Sum

State the signs of cosec 520°

Solution

We know that cosecant function is periodic with period 2π.

∴ cosec 520° = cosec (360° + 160°)

= cosec 160°

Since 90° < 160° < 180°,

160° lies in the second quadrant.

520° lies in the second quadrant.

Hence, cosec 520° is positive.

Concept: Signs of Trigonometric Functions in Different Quadrants
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APPEARS IN

Balbharati Mathematics and Statistics 1 (Arts and Science) 11th Standard Maharashtra State Board
Chapter 2 Trigonometry - 1
Miscellaneous Exercise 2 | Q II. (2) i) | Page 33