Question

If sino 5/13 find the value of cos theta​

Answer 1

Answer:

cos = 12/13

Step-by-step explanation:

if sin = 5/13

then

the ratio of = opposite side / hypotenuse = 5/13

by phthogorean theorem

if opposite side = 5 units

hypotenuse = 13 unit

then adjacent side = 12 units

and

cos = adjacent side / hypotenuse = 12/13

however , we need to note that if the angle is in Quadrant II then the adjacent side will actually be a negative value .

cos = 12/13 for an angle in QI

cos = -12/13 for an angle in QII

Answer 2

${ \bold{ \sin \theta = \frac{5}{13} }} \\ { \bold{In \: \: \triangle {}^{le} ABC }} \\ { \bold{Let AB =5 \: and \: AC= \sqrt{BC² - AB²} }} \\ \\{ \bold{By \: \: Pythagoras \: \: theorem}} \\ { \bold{AE=12}} \\ { \bold{ \underline{ \underline{ADDITIONAL \: \: \: INFORMATION}}}} \\ { \bold{ \cos \theta = \frac{12}{13} }} \\ \\ { \bold{ \tan \theta = \frac{5}{12} }} \\ \\ { \bold{ \cosec \theta = \frac{13}{12} }} \\ \\ { \bold{ \cot \theta = \frac{12}{5} }}$