3cos-1 x - - x - -2 - 0 has - -Infinite solutionsNo solutionNone of theseOne solution

The correct option is D One solution 3cos^ 1 x π x + π/2 Clearly graphs of y = 3cos^ 1 x and y = π x + π/2 in the domain of cos^ 1 x i.e., in [ 1, 1] inters ...

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Byju's Answer

Standard XII

Mathematics

Graphs of Basic Inverse Trigonometric Functions

3cos^-1 x - π...

Question

$3 c o s^{- 1} x - π x - \frac{π}{2} = 0$ has :

One solution

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

Infinite solutions

No worries! We‘ve got your back. Try BYJU‘S free classes today!

No solution

No worries! We‘ve got your back. Try BYJU‘S free classes today!

None of these

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is A One solution

$3 c o s^{- 1} x - π x + \frac{π}{2}$
Clearly graphs of $y = 3 c o s^{- 1} x$ and $y = π x + \frac{π}{2}$ in the domain of $c o s^{- 1} x$ i.e., in [-1, 1] intersect only once, therefore there is only one solution of the given equation.

Suggest Corrections

Similar questions

3 c o s^{- 1} x - π x - \frac{π}{2} = 0

has :

Q. The equation

3 c o s^{- 1} x - π x - \frac{π}{2} = 0

has

3 c o s^{- 1} x - π x - \frac{π}{2} = 0

has :

Q. The solution set of the inequality

({cot}^{- 1} x) ({tan}^{- 1} x) + (2 - \frac{π}{2}) {cot}^{- 1} x - 3 {tan}^{- 1} x - 3 (2 - \frac{π}{2}) > 0

Q. Statement I : The equation

(s i n^{- 1} x)^{3} + (c o s^{- 1} x)^{3} - a π^{3} = 0

has a solution for all

a ⩾ \frac{1}{32} .

Statement II : For any

x ϵ R, s i n^{- 1} x + c o s^{- 1} x = \frac{π}{2}

and

0 \leq (s i n^{- 1} x - \frac{π}{4})^{2} \leq \frac{9 π^{2}}{16}

Join BYJU'S Learning Program

3cos−1x−πx−π2=0 has :

The correct option is A One solution 3cos−1x−πx+π2 Clearly graphs of y=3cos−1x and y=πx+π2 in the domain of cos−1x i.e., in [-1, 1] intersect only once, therefore there is only one solution of the given equation.

$3 c o s^{- 1} x - π x - \frac{π}{2} = 0$ has :

The correct option is A One solution

$3 c o s^{- 1} x - π x + \frac{π}{2}$
Clearly graphs of $y = 3 c o s^{- 1} x$ and $y = π x + \frac{π}{2}$ in the domain of $c o s^{- 1} x$ i.e., in [-1, 1] intersect only once, therefore there is only one solution of the given equation.