Question

plzz tell me fast................​

Answer 1

2tan30°/(1 + tan^2 30°)

using formula

1 + tan^2@ = sec^2@

2tan30/sec^2 30°

using formula

tan@ = sin@/cos@

cos@sec@ = 1

2sin30cos30

using formula

2sin@cos@= sin2@

sin60

sqrt 3/2

RHS

Sec^4@ - sec^2@

sec^2@ ( sec^2@ - 1)

sec^2@tan^2@

(1 + tan^2@)tan^2@

tan^2@ + tan^4@

hence

LHS = RHS

proved