Use idealities to find values of the ttne and cosine functio

Use idealities to find values of the ttne and cosine functions of the function for the angle measure. 2theta, given sin theta = squareroot/5 and cos theta greaterthan 0 cos 2theta = (Simplify your answer, including any radicals Use integers or fractions for any numbers in the expression) sin 2theta = (Simplify your answer, including any radicals Use integers or fractions for any numbers tn the expression.)

Solution

sin=6 /5

cos =[5²-(6)²] /5 =19 /5

cos2 =1-2sin²

cos2 =1-2(6 /5)²

cos2 =1-(12/25)

cos2 =13/25

sin2 =2sincos

sin2=2(6 /5)(19 /5)

sin2=(2/25)114