Question

If cos A=7/25
. then find sin A and cosec A.
What do you observe ?
​

Answer 1

Answer:

Hope this helps you out. Sorry but i dont know the answer of what do you observe.

Answer 2

$\sin A=\frac{24}{25}$

$\csc A=\frac{25}{24}$

Step-by-step explanation:

Given : $\cos A=\frac{7}{25}$

To find : The value of  sin A and cosec A ?

Solution :

$\cos A=\frac{7}{25}$

Using Pythagorean theorem, $H^2=P^2+B^2$

As we know, $\cos A=\frac{B}{H}$

Here, B is the base B=7

H is the hypotenuse H=25

P is the perpendicular

Substitute in formula,

$(25)^2=P^2+(7)^2$

$625=P^2+49$

$P^2=576$

$P=\sqrt{576}$

$P=24$

Now,

1) $\sin A=\frac{P}{H}$

$\Rightarrow \sin A=\frac{24}{25}$

2) $\csc A=\frac{H}{P}$

$\Rightarrow \csc A=\frac{25}{24}$

#Learn more

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