TS EAMCET · Maths · Inverse Trigonometric Functions
If then
- A
- B
- C
- D
Answer & Solution
Correct Answer
(A)
Step-by-step Solution
Detailed explanation
Given, sin-1x<cos-1x ⇒cos-1x>π2-cos-1x sin-1x+cos-1x=π2 ⇒2cos-1x>π2 ⇒cos-1x>π4 ⇒x<cosπ4 (As cosθ is decreasing function.) ⇒x<12 ……1 Domain of cos-1θ is…
See the Complete Solution
Get step-by-step explanations for this and 2.5 Lakh+ more JEE, NEET & CET questions.
- Unlock all solutions
- Practice the full chapter
- Track accuracy across PYQs
4.8 rated on Google Play · 14,000+ reviews
More questions from Maths
- In a triangle and divide the sides and in the ratio respectively. If is the point of intersection of and then the ratio in which divides isTS EAMCET 2022 Medium
- The approximate value of \(\tan ^1\) (0.999) (upto 4 decimal places) isTS EAMCET 2019 Easy
- Let \(\left|\begin{array}{ccc}x^2+x+1 & x+1 & 2 x-3 \\ 3 x^2-1 & x+2 & x-1 \\ x^2+5 x+1 & 2 x+3 & x+4\end{array}\right|\) \(=a x^4+b x^3+c x^2+d x+e\) be an identity in \(x\). If \(a, b, c, d\) are known, then the value of \(e\) isTS EAMCET 2015 Easy
- The real part of \(z\) that satisfies \(i z^4+1=0\) isTS EAMCET 2019 Medium
- The number of points at which the function \(f(x)=\frac{\sqrt{11+|x|-6 \sqrt{2+|x|}}}{6-2 \sqrt{2+|x|}}\) is discontinuous in \((-\infty, \infty)\) isTS EAMCET 2018 Easy
- The normal at a point to the curve always passes through the fixed pointTS EAMCET 2018 Medium
More PYQs from TS EAMCET
- For a reaction at . The approximate value of for this reaction at the same temperature isTS EAMCET 2018 Medium
- Consider a small block sliding down an inclined plane of inclination with the horizontal. The coefficient of friction is where is the distance (in meter) through which the mass slides down. The distance covered by the mass before it stops isTS EAMCET 2021 Hard
- The equatorial and axial \(\mathrm{P}-\mathrm{Cl}\) bond length (in pm) respectively in \(\mathrm{PCl}_5\) areTS EAMCET 2018 Medium
- If tangents are drawn to the circle \(x^2+y^2=12\) at the points of intersection with the circle \(x^2+y^2-5 x+3 y-2=0\), then the ordinate of the point of intersection of these tangents isTS EAMCET 2018 Easy
- The equation of the circle touching the line \(2 x+3 y+1=0\) at the point \((1,-1)\) and orthogonal to the circle which has the line segment having end points \((0,-1)\) and \((-2,3)\) as diameter, isTS EAMCET 2019 Medium
- A small block of mass is placed on a horizontal slab at a height of above the floor. The block is pressed against a horizontal spring fixed at one end to compress the spring through Upon releasing, the block moves horizontally till it leaves the spring. Calculate the horizontal distance covered by the block after leaving the slab and just before hitting the ground. The spring constant is
(Assume ).TS EAMCET 2021 Medium