Question

if sin theta = x/ y, then cos theta is​

Answer 1

Answer:

√3/2

Step-by-step explanation:

If Sin theta = 1/2

Theta = 30 degrees

sin 30 = 1/2

So

Cos 30 = √3/2

Answer 2

Answer:

cos ∅ = $\frac{\sqrt{y^{2}-x^{2} } }{y}$

Step-by-step explanation:

∵ Sine ∅ = $\frac{x}{y}$

  From the above data P = x , H = y.

           By using the phythagoren theorem, we can obtain the value of B.

   H² = P² + B²

    y² = x² + B²

    B² = y² - x²

    B = √(y²-x²)

So, Cos ∅ = B/H

Therefore the value of   Cos ∅  = $\frac{\sqrt{y^{2}-x^{2} } }{y}$  

         

SOME IMPORTANTE FORMULAS-

· Sin ∅ = $\frac{P}{H}$

· Cos ∅ = $\frac{B}{H}$

· Tan ∅ = $\frac{P}{H}$

· Cosec ∅ = $\frac{H}{P}$

· Sec ∅ = $\frac{H}{B}$

· Cot ∅ = $\frac{B}{P}$

{ Where , P = perpendicular

               B = base

               H = hypotenus       }

THANKS.