10th Class Mathematics Introduction to Trigonometry Question Bank Case Based (MCQs) - Introduction to Trigonometry

Find the value of \[\sin A+\cos C.\]

A) \[0\]

B) \[1\]

C) \[\frac{1}{\sqrt{2}}\]

D) \[\sqrt{2}\]

Correct Answer: D

Solution :

\[\sin A=\frac{1}{\sqrt{2}},\] \[\cos C=\cos 45{}^\circ =\frac{1}{\sqrt{2}}\]

\[\therefore \,\,\,\,\,\,\,\,\sin A+\cos C=\frac{1}{\sqrt{2}}+\frac{1}{\sqrt{2}}=\frac{2}{\sqrt{2}}=\sqrt{2}\]

So, option [d] is correct.