Question

Prove that : Sin A - 2Sin^3 A/2cos^3 A-cos A=tan A.

Answer 1

HELLO FRIEND HERE IS YOUR ANSWER ☺
SINA- 2SIN³/2COS³-COS

SINA(1-2SIN²)/COSA(2COS²A-1)

TAN A (1-2SIN²)/(2(1-SIN²A)-1)

TANA (1-2SIN²A)/ (2-2SIN²A-1)

TAN A (1-2SIN²A) / (1-2SIN²A)

CUT THE SAME NO.

YOU GIVE TAN A

HENCE PROVED

I HOPE IT HELPS YOU ☺

PLZZZZ MARK IT BRAINLIEIST ANSWER

Answer 2

Taking L. H. S.

=SIN A-2SIN³A/2COS³A- COS A
=SINA(1-2SIN²A) /COSA(2COS²A-1)
=SINA(1-2SIN²A) /COSA[2(1-SIN²A)-1]
=SINA(1-2SIN²A) /COSA(2-2SIN²A-1)
=SINA(1-2SIN²A) /COSA(1-2SIN²A)
=SINA / COSA
=TAN A =R. H. S.

HOPE IT HELPS YOU
^_^