Answer
$sin(\theta) = 0.8$
$cos(\theta) = 0.6 $
$cot(\theta) = 0.75$
$sec(\theta) = 1.66667$
$cosec(\theta) = 1.25$
Work Step by Step
We have $\theta = tan^{-1}(\frac{4}{3})$. (From this we get $tan(\theta) = \frac{4}{3}$)
Thus, using a calculator, we have: $\theta = 53.13^{\circ} $.
Thus,
$sin(53.13) = 0.8 = \frac{4}{5}$
$cos(53.13) = 0.6 = \frac{3}{5}$
$cot(53.13) = \frac{1}{tan(53.13)} = \frac{1}{\frac{4}{3}} =\frac{3}{4} = 0.75$
$sec(53.13) = \frac{1}{cos(53.13)} = \frac{1}{\frac{3}{5}} = \frac{5}{3} = 1.66667$
$cosec(53.13) = \frac{1}{sin(53.13)} = \frac{1}{\frac{4}{5}} = \frac{5}{4} = 1.25$
