Question

8. The value of sec^242-cosec^248° is​

Answer 1

Answer:

0 is the value of sec²42° - cosec²48°.

Step-by-step explanation:

Given :-

sec²42° - cosec²48°

To find :-

The simplified value.

Solution :-

sec²42° - cosec²48°

sec²42° - cosec²(90° - 42°)

∵ cosec(90°-A) = secA

sec²42° - sec²42°

0

or

sec²42° - cosec²48°

sec²(90°- 48°) - cosec²48°

∵ sec(90°- A) = cosecA

cosec²48° - cosec²48°

0

∴ The simplified value of sec²42° - cosec²48° is 0