Question

1) Prove the following
cot²∅ - tan²∅= cosec²∅ - sec²∅​

Answer 1

Step-by-step explanation:

to prove cot²a-tan²a=cosec²a-sec²a

since cot²a=cosec²a-1

and tan²a=sec²a-1

therefore

(cosec²a-1) - (sec²a-1)

cosec²a-1-sec²a+1

cosec²a-sec²a...hence proved