The value of Sin2t is 1/4 and cos2t is (15/16)^1/2 and tan2t is 1/(15)^1/2.
According to the statement
we have given that the sint=1/8 then we have to find the exact value of
sin(2t) , cos(2t) , and tan(2t).
Here the value of Sint = 18
then sin2t becomes
sin2t = 2*1/8 then
sin2t = 1/4.
And
(Cos2t)^2 = 1 - (Sin2t)^2
(Cos2t)^2 = 1 - 1/16
(Cos2t)^2 = (16 - 1)/16
(Cos2t)^2 = 15/16
(Cos2t) = (15/16)^1/2
then
tan2t = sin2t/cos2t
tan2t = (1/4)/(15)^1/2 / 4
tan2t = 1/(15)^1/2
these are the values of given terms.
So, The value of Sin2t is 1/4 and cos2t is (15/16)^1/2 and tan2t is 1/(15)^1/2.
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