Question

if tan∅+cot∅=3find the value of tan²∅+cot²∅​

Answer 1

Answer:

we will use ( a + b )² - 2ab

Step-by-step explanation:

( tan Φ + cot Φ ) - 2tanΦ cotΦ

3 - 2 × tanΦ × 1 / tanΦ

3 - 2

1

Answer 2

Answer:

7

Step-by-step explanation:

tan¢+cot¢=3

sq. both sides,we get

(tan¢+cot¢)^2=(3)^2

tan^2¢+cot^2¢+2tan¢.cot¢=9

tan^2¢+ cot^2¢+2=9 [tan¢.cot¢=1]

tan^2¢+cot^2¢= 9-2=7