#### Evaluate \cosec 31\degree - \sec 59\degree

Anonymous

0

Anonymous

0

Krishna

0

Step 1: Note down the given equation and known about the complimentary angles

EXAMPLE: \cosec 31\degree - \sec 59\degree

Step 2 Using the trigonometric ratio for complementary angles,

NOTE: we know that, \cosec A = \sec (90\degree - A)

EXAMPLE: \cosec 31\degree = \sec (90\degree - 31\degree)

\cosec 31\degree = \sec 59 \degree.............(1)

Step 3: Insert the known values and solve for the unknown value.

EXAMPLE: = \cosec 31\degree - \sec 59\degree

= \sec59\degree-\sec59\degree [since equation (1)]

= 0