Question

If $\sin A=\frac{9}{41}$, compute cos A and tan A.

Answer 1

Given: ……(1)

To Find:

By definition,

…... (2)

By Comparing (1) and (2)

We get,

Perpendicular side = 9 and

Hypotenuse = 41

Now using the perpendicular side and hypotenuse we can construct as shown below

Length of side AB is unknown in right angled ,

To find length of side AB, we use Pythagoras theorem.

Therefore, by applying Pythagoras theorem in ,

We get,

Hence, length of side AB = 40

Now,

By definition,

Now,

By definition,

Answer: and