Question

plz plz solve this Very important ???​

Answer 1

Step-by-step explanation:

Given,

$( \frac{ \sin^{4} (theta)}{ \cos^{2} (theta) } ) + ( \frac{ \cos^{4} (theta) }{ \sin^{2} (theta) } )$

= (1-cos^2(theta))^2/cos^2(theta) + (1-sin^2(theta))^2/sin^2(theta)

since, sin^2(theta) + cos^2(theta) = 1

= [1/cos^2(theta) + cos^2(theta) - 2] + [1/sin^2(theta) + sin^2(theta) - 2]

= [sec^2(theta) + cos^2(theta) - 2] + [cosec^2(theta) + sin^2(theta) - 2]

= sec^2(theta) + cosec^2(theta) + 1 - 4

= sec^2(theta) + cosec^2(theta) - 3