Question

What trigonometric expression can be used to find the value of x? Replace a and b with the correct values. . 10 50° (0) 0 DO sin cos tan sin-cos tan TT - α β ε 9 10 A X P • CSC sec cot log log, In Yo 0. < > < IV a x= tan(b) Reset Next Il rights reserved.

Answer 1

Explanation

We can solve the given question using the trigonometric function below.

$\tan \theta=\frac{\text{opposite}}{adjacent}$

In the triangle, x represents the adjacent side while 10 represents the opposite side. The given angle is also 50 degrees.

Therefore, we will have;

$\begin{gathered} \tan 50^0=\frac{10}{x} \\ \text{Cross mutiply} \\ x\tan 50^0=10 \\ \therefore x=\frac{10}{\tan 50^0} \end{gathered}$

Hence, by comparison, we can get the values of a and b.

Answer

$a=10;b=50^0$