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

Anonymous
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