Question

If tana+ cota = 3, prove that tan^2a + cot^2a = 7​

Answer 1

Answer:

Given tanA+cotA=2

Squaring on both sides

(tanA+cotA)

2

=2

2

tan

2

A+cot

2

A+2tanAcotA=‘4

tan

2

A+cot

2

A+2=4

tan

2

A+cot

2

A=2

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Answer 2

Step-by-step explanation:

given tana+cota=3

to prove : tan^2a+cot^2a=7

tana+cota=3

squaring both sides ,

(tana+cota)^2 =3^2

tan^2a + 2tana.cota

cot ^2a =9

tan^2a+cot^2a= 9-2(tana.cota=1(

tan^2a+cot^2a=7

proved .