Evaluate Cos pi – x
How to evaluate cos(π - x)? Learn the trigonometric identity and derivation for CBSE Class 11, JEE, and NEET Mathematics preparation.
How to evaluate cos(π - x)? Learn the trigonometric identity and derivation for CBSE Class 11, JEE, and NEET Mathematics preparation.
Answer: Using the trigonometric identity, we can calculate cos(∏-x).
cos (A – B) = cos A + sin A + sin B
Thus,
cos(∏-x)= cos π cos x + sin π sin x
The known values will now be substituted.
We already know that cos π = -1 and sin π = 0.
Hence,
cos(∏-x)= (-1) cos x + sin π sin x
cos(∏-x) = -cosx + 0.
cos(∏-x) = – cos X.