Respuesta :

Answer:

[tex]\frac{\sqrt{7} }{4}[/tex]

Step-by-step explanation:

since sin theta = 3/4, opposite length = 3 units and hypotenuse length = 4 units

by pythagoras' theorem, adjacent length = [tex]\sqrt{7}[/tex]

thus cos theta = adjacent/hypotenuse = [tex]\frac{\sqrt{7} }{4}[/tex]

sin(θ)=3/4
α=sin^-1 (3/4)
= 0.84806207898
since it is in the first quadrant
θ=0.84806207898
thus cos(θ)=cos(0.84806207898)
= 0.66143782777