Question

IF THE VALUE OF sin thita = 3/5, what is the value of tan thita?

Answer 1

Step-by-step explanation:

sin theta = perpendicular/hypothenuse= 3/5

it means, perpendicular= 3 and

hypotenuse = 5

so, base = 4. ( by Pythagoras theorem)

tan theta = perpendicular/base =3/4

Answer 2

Answer:

Tan teta =3/4.

Step-by-step explanation:

$sin \: teta = opposite \: side \div hypotunes. \\ = tan \: teta = opposite \: side \div adjacent \: side. \\ = sin \: teta = 3 \div 5 \\ so \: tan \: teta = 3 \div x \\ here \: x \: means \: the \: adjacent \: side. \\ to \: find \: adjacent \: side \: use \: pythagares \: theorem. \\ x {}^{2} = 5 {}^{2} - 3{}^{2} \\ = 25 - 9 \\ = 16 \\ x {}^{2} = 16 \\ x = 4 \\ now \: adjacent \: side \: is \: 4 \\ then \: tan \: teta \: = opposite \div adjacent \: \\ = 3 \div 4$