If \(\sin\theta = \dfrac{5}{13}\) and \(\theta\) is an acute angle, complete the following activity to find \(\cos\theta\).Solution :\(\sin^2\theta + \cos^2\theta =\) ____\(\therefore \left(\dfrac{5}{13}\right)^2 + \cos^2\theta = 1\)\(\therefore \cos…
Q.2 (A)(2) If \(\sin\theta = \dfrac{5}{13}\) and \(\theta\) is an acute angle, complete the following activity to find \(\cos\theta\).
Solution :
\(\sin^2\theta + \cos^2\theta =\) ____
\(\therefore \left(\dfrac{5}{13}\right)^2 + \cos^2\theta = 1\)
\(\therefore \cos^2\theta = 1 -\) ____
\(= \dfrac{\text{____}}{169}\)
\(\therefore \cos\theta =\) ____