Find the approximate value of each trigonometric function.31Given that tano 3.454 where << ,find the values of sing and coso. If necessary, round to 32'decimal places.In Quadrant III, sino sand costs

Find the approximate value of each trigonometric function31Given that tano 3454 where ltlt find the values of sing and coso If necessary round to 32decimal plac class=

Respuesta :

Answer:

cos theta = -0.278

sin theta = -0.961

Explanation:

Given the expression

tan theta = 3.454

Get the value of thets

theta = arctan 3.454

theta = 73.85degrees

since theta is between 90 and 270 and lies in the third quadrant, then;

theta = 180+73.85

Get cos theta and sin theta

cos theta

= cos 253.85

= -0.278

sin theta

= sin 253.85

= -0.961

Hence cos theta and sin theta are -0.278 and -0.961 respectively