Find the value of X if \(cos x = \frac{5}{8}for 0^o\le X\le 180^o\)

Assessment: WAEC SSCE - General Mathematics - 1998 (Objective) Subject: General Mathematics

Question 1 Report

141.3^o

128.7^o

51.3^o

48.7^o

38.7^o

Answer Details

To find the value of X, we can use the inverse cosine function (also known as the arccosine function) on both sides of the equation: \begin{align*} \cos x &= \frac{5}{8} \\ \Rightarrow \quad x &= \cos^{-1} \left( \frac{5}{8} \right) \end{align*} Using a calculator, we can find that: \begin{align*} x &\approx 51.32^\circ \end{align*} Therefore, the correct answer is 51.3^o.

Read lesson note on Sine, Cosine And Tangent Of An Angle (WAEC)

Sine, Cosine And Tangent Of An Angle

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Find the value of X if \(cos x = \frac{5}{8}for 0^o\le X\le 180^o\)

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