MHT CET · Maths · Trigonometric Equations
The value of \(\cos ^{-1}\left(\tan \left(\frac{7 \pi}{4}\right)\right)\) is
- A \(\frac{\pi}{4}\)
- B \(\frac{\pi}{2}\)
- C \(\pi\)
- D \(\frac{2 \pi}{3}\)
Answer & Solution
Correct Answer
(C) \(\pi\)
Step-by-step Solution
Detailed explanation
\(\cos ^{-1}\left(\tan \frac{7 \pi}{4}\right)=\cos ^{-1} \tan \left(2 \pi-\frac{\pi}{4}\right)=\cos -1\)\(\left(-\tan \frac{\pi}{4}\right) \)
\( =\cos ^{-1}(-1) \)
\( =\pi\)
\( =\cos ^{-1}(-1) \)
\( =\pi\)
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