Find the domain Find the value sin2 210 degree tan 300 degre

Find the domain Find the value sin^2 210 degree tan 300 degree cot 315 degree

Solution

we have given sin²(210⁰)tan(300⁰)cot(315⁰)

sin²(210⁰)tan(300⁰)cot(315⁰) =sin²(180+30)tan(360-60)cot(360-45)

=(-sin)²(30)(-tan(60))(-cot(45))

=(1/2)^2(-sqrt(3))(-1)

=(1/4)(sqrt(3))

=sqrt(3)/4

sin²(210⁰)tan(300⁰)cot(315⁰) =sqrt(3)/4