Class 12 Inverse Trigonometric Functions · Mcq Single Correct1 Marksinverse_trigonometric_equations
Class 12 Maths · Inverse Trigonometric Functions · Mcq Single Correct #19
If \(\cos[\sin^{-1}(3/5)+\cos^{-1}x]=0\), find x.
✅ Step-by-Step Solution
Final Answer: Option (B): \(3/5\)
- Let α=arcsin(3/5)∈(0,π/2), β=arccos x∈[0,π]. The sum lies in (0,3π/2), so its only possible cosine zero is π/2. Thus β=π/2−α=arccos(3/5) and x=3/5.
Master Chapter 2: Inverse Trigonometric Functions
Practise interactive questions, flashcards, visual mind maps, and timed board tests for Inverse Trigonometric Functions.
← Previous Question
For 0≤x≤1, simplify \(\cos^{-1}(2x^2-1)\).
Next Question →Which is the principal value branch of \(\operatorname{cosec}^{-1}x\)?
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.