Question

If tan theta=3/5, find sin theta+ tan theta

Answer 1

Answer:

tan-p/b

p/b=3/5

h=√3^2+5^2

h=6

sintheta=p/h=3/6=1/2

1/2+3/5=5+6/10=11/10

Answer 2

Step-by-step explanation:

${\green{\huge{Answer}}}$

${\tan( \theta) = \frac{3}{5} .......given \:}$

${\red{Now,}}$

${tan\theta =\frac{perpendicular} {adjacent}}$

${\tan( \theta) = \frac{3}{5} = \frac{perpendicular}{adjacent}}$

${\red{Therefore,}}$

perpendicular = 3x

and,

adjacent = 5x

by Pythagoras therem

hypotenuse = 5.8x= 6 approx.

therefore

sin theta = perpendicular/hypotenuse=3x/6x = 1/2

$\tan( \theta) = \frac{3}{5} .......given \:$

${\red{Now,}}$

sin theta + tan theta = 1/2+3/5

= 5+6/10

= 11/10

= 1.1