Question

If tan theta = cot theta then find the value of sec thetatheta is

Answer 1

tan∅ = cot∅

we know ,
tan( 90° - ∅) = cot∅ use, here

tan∅ = tan( 90°-∅)

∅ = 90° - ∅

2∅ = 90°

∅ = 45°

then, sec∅ = sec45° = √2

Answer 2

HI,
if tan theta=cot theta,
we need to find the value of sec thetatheta,
we know,
———————————
=>tan(90°-theta) =cot theta ,we can use here
=>tan theta =tan (90°-theta)
=>theta=90°-theta
=>2theta=90°
=>theta=45°
therefore, sec theta=sen 45°=√2
THANKS... HOPE IT HELPS..