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Question: Equation of the image of the line x + y = sin<sup>–1</sup>(a<sup>3</sup> + 1) + cos<sup>–1</sup>(a<s...

Equation of the image of the line x + y = sin–1(a3 + 1) + cos–1(a2 + 1) – tan–1(a + 1), a Ī R about y-axis is given by

A

x – y + π4\frac { \pi } { 4 } = 0

B

x – y = 0

C

x – y = π4\frac { \pi } { 4 }

D

x – y = π2\frac { \pi } { 2 }

Answer

x – y + π4\frac { \pi } { 4 } = 0

Explanation

Solution

a = 0

equation x + y = π2\frac { \pi } { 2 }π4\frac { \pi } { 4 }

image x – y + π4\frac { \pi } { 4 } = 0