Question

if theta=60 degrees, then verify that cos theta by 1-sin theta + cos theta by 1+ sin theta =4​

Answer 1

Answer:

it is correct

Step-by-step explanation:

Let theta be x

According to question,

x = 60°

Therefore,

LHS = cos x / (1 - sin x) + cos x / (1 + sin x)

put x = 60°

= (1/2)(1/(1 - root 3/2) + (1/2)(1/(1 + root 3/2)

= 1/(2 - root 3) + 1/(2 + root 3)

Cross multiply

= (2 + root 3 + 2 - root 3)/(4 - 3)

= 4