Question

if cos theta is 6/10 find all the trigonometric ratios

Answer 1

Hey mate here is your answer...........

$\cos( \alpha ) = \frac{6}{10} \\ \frac{base}{hypertonus} \: = \: \frac{6}{10}$

now,

by using Pythagoras theorem,

${h}^{2} = {b}^{2} + {p}^{2} \\ {10}^{2} = {6}^{2} + {p}^{2} \\ 100 - 36 = {p}^{2} \\ {p}^{2} = 64 \\ p = 8$

now,

$\sin( \alpha ) = \frac{p}{h} \\ \sin( \alpha ) = \frac{4}{5} \\ \tan( \alpha ) = \frac{p}{b} \\ \tan( \alpha ) = \frac{4}{3}$

now, similarly you can find the remaining three

HOPE IT HELP YOU ............^_^