Question

first answer is selected as brainlist ​

Answer 1

Step-by-step explanation:

LHS=( 1+tan²theta) +(1+1/tan²theta)

=(1+sin²theta/cos²theta)+(1+cot²theta)

=(cos²theta + sin²theta)+(sin²theta+cos²theta)

=( cos²theta) (sin²theta)

=1 + 1

Cos²theata. sin² theta

Because sin² theta +cos² theta =1

=sin²theta+cos²theta

Cos²theta*sin²theta

R. H. S = 1

Sin² theta - sin⁴theta

= 1

Sin²theta[1-sin²theta]

=. 1.

Sin²theta*cos²theta

Because 1- sin² theta =cos²theta

Now, 1=sin²theta+ cos² theta

Therefore, 1 =sin²theta+cos²theta

Sin²theta*cos²theta sin² theta *cos²theta

LHS= RHS

HENCE PROVED