Question

In triangle ABC angle B is 90degree. If cos =24/25 find sin and tin​

Answer 1

Answer:

sin= 7/25. tan=7/24

Step-by-step explanation:

$cos = \frac{base}{hypotenuse} \\ = \frac{24}{25}$

Therefore, base is 24 and hypotenuse is 25

By Pythagoras theorem

$hypotenuse^{2} = {base}^{2} + {perpendicular}^{2} \\ {25}^{2} = {24}^{2} + {perpendicular}^{2} \\ 625 = 576 + {perpendicular}^{2} \\ 625 - 576 = {perpendiculae}^{2} \\ 49 = {perpendicular}^{2} \\ \sqrt{49 } = perpendicular \\ 7 = perpendicular$

Therefore, perpendicular is 7

Now,

$\sin = ( \frac{perpendicuar}{hypotenuse} ) \\ = \frac{7}{25}$

$\tan = ( \frac{perpendicular}{base} ) \\ = \frac{7}{24}$

So, the value of sin is 7/25 and value of tan is 7/24