Class 12 Inverse Trigonometric Functions · Short Answer2 Marksprincipal_values
Class 12 Maths · Inverse Trigonometric Functions · Short Answer #90
Evaluate \(\tan^{-1}1+\cos^{-1}(-1/2)+\sin^{-1}(-1/2)\).
✅ Step-by-Step Solution
Final Answer: 3π/4
- The principal values are arctan1=π/4, arccos(−1/2)=2π/3 and arcsin(−1/2)=−π/6.
- Add them using denominator 12: (3+8−2)π/12=9π/12.
- The value is 3π/4.
📋 CBSE Stepwise Marking Scheme
- [0.5 marks] The principal values are arctan1=π/4, arccos(−1/2)=2π/3 and arcsin(−1/2)=−π/6.
- [1 mark] Add them using denominator 12: (3+8−2)π/12=9π/12.
- [0.5 marks] The value is 3π/4.
Master Chapter 2: Inverse Trigonometric Functions
Practise interactive questions, flashcards, visual mind maps, and timed board tests for Inverse Trigonometric Functions.
← Previous Question
Prove \(\sin^{-1}(2x\sqrt{1-x^2})=2\sin^{-1}x\) for \(-1/\sqrt2\le…
Next Question →For a>0 and |x|<a, simplify \(\tan^{-1}[x/\sqrt{a^2-x^2}]\).
More Practice Questions in Inverse Trigonometric Functions
Related Questions in Inverse Trigonometric Functions
Class 12 Inverse Trigonometric Functions · Mcq Single Correct
Evaluate \(\sin^{-1}(\cos(13\pi/5))\).
Class 12 Inverse Trigonometric Functions · Mcq Single Correct
Find the full real solution set of \(\sin^{-1}x>\cos^{-1}x\).
Class 12 Inverse Trigonometric Functions · Mcq Single Correct
Evaluate \(\sin[\pi/2-\sin^{-1}(-1/2)]\).
Class 12 Inverse Trigonometric Functions · Mcq Single Correct
For \(x\in[-1,1]\setminus\{0\}\), simplify \(\cot(\sin^{-1}x)\).
Class 12 Inverse Trigonometric Functions · Mcq Single Correct
Evaluate \(\sin^{-1}(\cos(\pi/9))\).
Class 12 Inverse Trigonometric Functions · Mcq Single Correct
Evaluate \(\theta=\sin^{-1}(\sin(-600^\circ))\), giving the answer in radians.