You visited us 2 times! Enjoying our articles? Unlock Full Access!

Solving Simultaneous Trigonometric Equations

Number of ord...

Question

Number of ordered pairs (x,y) satisfying |y|=cosx, y= $s i n^{- 1} (s i n x), x \in [- 2 π, 3 π]$ is

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

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

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

Open in App

Solution

The correct option is B
5

We observe that graph of $y = s i n^{- 1} (s i n x) a n d | y | = c o s x$ intersect exactly at 5 points.

Suggest Corrections

Similar questions

(x, y)

sin x + sin y = sin (x + y)

| x | + | y | = 1

X \in [- 2 π, 3 π] a n d y \in R

(\sqrt{3} sin x - cos x - 3 y^{2} + 6 y - 5) = 0

x, y

y = | sin x |

y = {sin}^{- 1} (sin x)

x ϵ [- 2 π, 2 π]

Total number of ordered pairs (x,y) satisfying $| x | + | y | = 2, s i n (\frac{π x^{2}}{3}) = 1$ is

(x, y)

sin x + sin y = sin (x + y)

| x | + | y | = 1

Join BYJU'S Learning Program