Question

If 10 sin theta=8 then the value of tan theta is​

Answer 1

Answer:

tanA=4/3

Step-by-step explanation:

let theta =A

so given 10sinA=8

so sinA=8/10=4/5

now in a right triangle sinA is equal to

opposite side / hypotenuse

so one side of the triangle is 4x hypotenuse is 5x so the other side must be 3x as these are Pythagorean triplets.

so adjacent side is 3x

so tanA=opposite side/adjacent side=4/3

Answer 2

10sinø=8

sinø=8/10=opp/hyp

adj^2=hyp^2-opp^2

=100-64

=36

adj=sqrt⁹36)

adj=6

cosø=adj/hyp=6/10

tanø=sinø/cosø

=(8/10)÷(6/10)

=8/6=4/3