Question

if tan c =11 find sin c and cos c

Answer 1

Given: $tanC=11$

To find: the value of $sinC$ and $cosC$

Solution:

• Here, $tanC=11=\frac{11}{1}$

• Then altitude = $11$ and base = $1$

• So hypotenuse = $\sqrt{11^{2}+1^{2}}=\sqrt{122}$

• So $sinC=\frac{altitude}{hypotenuse}=\frac{11}{\sqrt{122}}$

• and $cosC=\frac{base}{hypotenuse}=\frac{1}{\sqrt{122}}$

Answer: using algebraic formuma $tanA=\frac{altitude}{base}$, we have found:

• $sinC=\frac{altitude}{hypotenuse}=\frac{11}{\sqrt{122}}$
• $cosC=\frac{base}{hypotenuse}=\frac{1}{\sqrt{122}}$