COMEDK · Maths · 23. Inverse Trigonometric Functions
\(\text { Evaluate: } \cos ^{-1}\left(\cos \dfrac{35 \pi}{18}\right)-\sin ^{-1}\left(\sin \dfrac{35 \pi}{18}\right)\)
- A \(\dfrac{\pi}{9}\)
- B \(\pi\)
- C 0
- D \(\dfrac{\pi}{18}\)
Answer & Solution
Correct Answer
(A) \(\dfrac{\pi}{9}\)
Step-by-step Solution
Detailed explanation
The expression is \(\cos ^{-1}\left(\cos \dfrac{35 \pi}{18}\right)-\sin ^{-1}\left(\sin \dfrac{35 \pi}{18}\right)\). First, simplify the argument \(\dfrac{35 \pi}{18}\) as \(2\pi - \dfrac{\pi}{18}\). For the cosine term:…
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