Question

If sinA = 0.8 ,find the value of all other trigonometrical ratios.
Please help.. ​

Answer 1

Answer:

$sin \: a = \frac{8}{10}$

$\sin \: a = \frac{8}{10} = \frac{p}{h}$

$let \: the \: common \: multipe \: be \: x$

$p = 8x \: and \: h = 10x$

$by \: pythagoras \: theorem \\ {h}^{2} = {p}^{2} + {b}^{2} \\ {(10x)}^{2} = {(8x)}^{2} + {b}^{2} \\ {(10x)}^{2} - {(8x)}^{2} = {b}^{2} \\ {100x}^{2} - {64x}^{2} = {b}^{2} \\ {36x}^{2} = {b}^{2} \\ b = \sqrt{36 {x}^{2} } \\ b = 6x$

$\cos = \frac{6}{10}$