Question

If tan tita = 4 then sine tita is​

Answer 1

Answer:

4√17/17

Step-by-step explanation:

tanθ = 4/1 = P/B

Perpendicuar(P) = 4

Base(B) = 1

Applying Pythagoras  theorem,

(H)² = (P)² + (B)²

(H)² = (4)² + (1)²

(H)² = 16 + 1

H = √17

sinθ = P/H = 4/√17

After rationalizing,

$\frac{4}{\sqrt{17} } *\frac{\sqrt{17}}{\sqrt{17}} \\\\\frac{4\sqrt{17} }{17}$