trigonometry help urgent!!!!!!!!!!!!!!!

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tan^2 A - tan^2 B = sin^2 A -sin^2 B
_________________cos^2 A * cos^2 B

Active member

i have varified your question to check if it is correct i found that its correct...

(tan(30)^2) - (tan(45)^2) = 38.4045961
(sin(30)^2) - (sin(45)^2) = 0.252169682
(cos(30)^2) * (cos(45)^2) = 0.00656613291

0.252169682 / 0.00656613291 = 38.404596

i will try to prove it........

Active member

i have solved it using with some 11th class forumlae...

tan^2 A - tan^2 B
=
(tan A - tan B )(tan A + tan B )
=
[sin(A-B)/(Cos A.Cos B)][sin(A+B)/(Cos A.Cos B]

=
(sin^2 A -sin^2 B)/(cos^2 A * cos^2 B)

H.P.

Active member

at 10th level it can be soved by replacing both tan as sin/cos and then subs. 1-sin^2 theta=cos^2 theta in place of both cos