Question

Give sin 20/48.find the other trigonometry factor

Answer 1

Here's your Answer

Given: sin=$\dfrac{20} {48}$
To find : all other trigonometric ratios

Proof :
As we know
Sin theeta= $\dfrac{Perpendicular } {Hypotenuse }$ = $\dfrac{20k} {48k}$
Now,
By using Pythagoras Theorem
P² + B² = H²
B = $\sqrt{H^2 - P^2}$
B = $\sqrt{(48k)^2-(20k^2)}$
B = $\sqrt {2304k^2 - 400k^2}$
B = $\sqrt {1904}k$

Therefore Base is $\sqrt{1904} k$

Cos = $\frac{B} {H}$
tan = $\frac{P} {B}$

Cosec = $\frac{1} {sin}$
sec = $\frac{1} {cos}$
cot = $\frac{1} {tan}$

Hope it helps you

# ${Be Brainly}$