Question

If cos#=35/37 then find the value sin# and tan#​

Answer 1

Cos#= 35/7
Then, sin#= 12/37
and tan# = 12/35

Answer 2

Answer:

given,

$\cos(#) = \frac{35}{37}$

here,

$\cos( # ) = \frac{base}{hypotenuse}$

so,

base=35

hypotenuse=37

by Pythagoras theorem,

$hypotenuse^{2} = base^{2} + perpendicular^{2} \\ > perpendicular^{2} = hypotenuse^{2} - base^{2} \\ > perpendicular^{2} = 37 ^{2} - 35^{2} = 1369 - 1225 = 144$

so, perpendicular=√144=12

so,

sin(#)=12/37

tan(#)=12/35