if sin 22 degree * cosec (90- theta) =1 find theta
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Solution :
sin 22° × cosec ( 90 - θ ) = 1
Using cosec ( 90 - θ ) = sec θ ,
⇒ sin 22° × sec θ = 1
⇒ sec θ = 1 / sin 22°
Using inverse of sin θ i.e 1 / sin θ = cosec θ ,
⇒ sec θ = cosec 22°
Using cosec θ = sec ( 90 - θ ) ,
⇒ sec θ = sec ( 90 - 22 ) °
⇒ sec θ = sec 68°
Comparing on both the sides
⇒ θ = 68°
Therefore the value of θ is 68°.
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