Advertisement Remove all ads

Find the Values of the Following Trigonometric Ratio: Tan ( − 13 π 4 ) - Mathematics

Find the values of the following trigonometric ratio:

\[\tan\left( - \frac{13\pi}{4} \right)\]

 

Advertisement Remove all ads

Solution

We have: 
\[\tan \left( - \frac{13\pi}{4} \right) = \tan \left( - 585^\circ \right)\]
\[\tan \left( - 585^\circ \right) = - \tan \left( 585^\circ \right) = - \tan \left( 90^\circ \times 6 + 45^\circ \right)\]
\[585^\circ\text{ lies in the third quadrant in which tangent function is positive . }\]
Also, 6 is an even integer . 
\[ \therefore \tan \left( - 585^\circ \right) = - \tan \left( 585^\circ \right) = - \tan \left( 90^\circ \times 6 + 45^\circ \right) = - \tan 45^\circ = - 1\]

Concept: Negative Function Or Trigonometric Functions of Negative Angles
  Is there an error in this question or solution?
Advertisement Remove all ads

APPEARS IN

RD Sharma Class 11 Mathematics Textbook
Chapter 5 Trigonometric Functions
Exercise 5.3 | Q 1.1 | Page 39
Advertisement Remove all ads
Advertisement Remove all ads
Share
Notifications

View all notifications


      Forgot password?
View in app×