Solve the 5th one Q 5 Find the number of values of (x, y, z) satisfying sin-1x+sin-1y+sin-1z=3π2 - Maths -

Question

Solve the 5th one
Q 5 Find the number of values of (x, y, z) satisfying sin - 1 x +
sin - 1 y + sin - 1 z = 3 π 2

Koka Sri Lakshmi Divya Sai · Accepted Answer

Dear Student
Givensin-1x+sin-1y+sin-1z=3π2As maximum value of sin-1θ is π2,hence above equation can only hold true ifsin-1x=sin-1y=sin-1z=π2   ∵π2+π2+π2=3π2sin-1θ=π2then θ=1⇒x=y=z=1∴The number of values of x,y,z is (1,1,1)

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Solve the 5th one. Q.5. Find the number of values of (x, y, z) satisfying sin - 1 x + sin - 1 y + sin - 1 z = 3 π 2

Solve the 5th one.
Q.5. Find the number of values of (x, y, z) satisfying $\sin^{- 1} x + \sin^{- 1} y + \sin^{- 1} z = \frac{3 π}{2}$