Question

If 1 + sin² 0 = 3 sin cos 0, then prove that tan 0 = 1 or tan 0 = ½​

Answer 1

Answer:

1 + sin² 0 = 3 sin cos 0

[On dividing both sides by cos²Ф]⇒IMPORTANT STEP.....

sec²Ф+tan²Ф=3 tanФ

1+2 tan²Ф-3 tanФ=0

Solving this equation...

You will get,

(tanФ-1)(2 tanФ-1)=0

tanФ=1 (or) tanФ=1/2

ALL THE BEST!!!