Find the value of the following inverse trigonometric expressions :
(i)sin–1 (sin 4) (ii)cos–1 (cos 10)
(iii)tan–1 (tan (– 6)) (iv)cot–1 (cot (– 10))
(v)cos–1 
Text Solution
Verified by ExpertsCHECK THE SOLUTION.
(i) π –4 (ii) 4 π – 10 (iii) 2 π – 6
(iv) 4 π – 10 (v) 
Sol. (i) sin–1 (sin 4) = ( π – 4) [ π < 4 < 
]
(ii) cos–1 (cos 10) = 4 π – 10
(iii) tan–1 (tan (– 6)) = tan–1 (–(tan(6))) = – tan tan–1 6 = – (6 – 2 π ) = 2 π – 6
(iv) cot–1 (cot (– 10)) = π – cot–1 cot 10 = π – (10 –3 π ) = 4 π – 10
(v) cos–1 
= cos–1 cos 
= cos–1 cos 
= cos–1 
= π – 
= 
──────────────────────────────────────────────────────────────────────────────────────────
Prepare Smarter with CGP Edu
Get practice questions, solutions, and test series in one place.
Write a Review
Share your experience with this question and solution.
Commentary
Send your comment, doubt, correction, or feedback to admin.
Similar Questions
Explore conceptually related problems