Question

​​In △ABC , angle C is a right angle. If cos⁡(A)=7/25 and sin⁡(A)=24/25 , what is tan⁡(A) ?

Answer 1

$\textbf{Given:}$

$\textsf{In right triangle ABC,}$

$\mathsf{cosA=\dfrac{7}{25},\;sinA=\dfrac{24}{25}}$

$\textbf{To find:}$

$\textsf{The value of tanA}$

$\textbf{Solution:}$

$\textsf{We know that,}$

$\boxed{\mathsf{tan\theta=\dfrac{sin\theta}{cos\theta}}}$

$\mathsf{Then,}$

$\mathsf{tanA=\dfrac{sinA}{cosA}}$

$\mathsf{tanA=\dfrac{\dfrac{24}{25}}{\dfrac{7}{25}}}$

$\mathsf{tanA=\dfrac{\dfrac{24}{25}}{\dfrac{7}{25}}}$

$\implies\boxed{\mathsf{tanA=\dfrac{24}{7}}}$

$\textbf{Find more:}$