Question

if sinteta =1/2then find the value of cosecteta

Answer 1

Answer:

IF SIN THETA = 1/2

THEN COSECANT THETA = 1/SIN THETA

== 1/1/2

==  2 ANSWER

Answer 2

Given,sin β = 1/2

according to the identity

sin²β+cos²β=1

(1/2)²+cos²β=1     {on putting the original values}

1/4 +cos²β = 1

cos²β = 1 - 1/4           (on subtracting 1/4 on both sides)

cos²β = 4/4-1/4

cos²β=3/4

cosβ = √3/4

cosβ = √3 / 2