Question

sino =12/13
, find coso, tano
(using formulas)​

Answer 1

Answer:

Step-by-step explanation:

ANSWER:

GIVEN THAT:-

$Sin\theta = \frac{12}{13}$

TO FIND:-

$\boxed{\textbf{Cos Theta and Tan Theta}}$

We know that:-

Sin theta = $\frac{{\textsf{Perpendicular}}}{{\textsf{Hypotenuse}}}$

So we can say that :-

$\boxed{\textsf{Perpendicular = 12}}\\\boxed{\textsf{Hypotenuse = 13}}$

We also know that :-

$Cos \theta = \frac{Base}{Hypotenuse}$

$Tan \theta = \frac{Perpendicular}{Base}$

We will find Hypotenuse by PYTHAGORAS THEOREM.

Let the Base be x.

$(12)^2+x^2=(13)^2\\x^2=169=144\\x^2=25$

$\boxed{\textsf{BASE = 5 cm}}$

So, placing values,

Cos theta = 5/13

Tan theta = 12/5 is the answer.