Let `P={theta:sintheta-costheta=sqrt2costheta}and Q={theta: sintheta+costheta=sqrt2sintheta}` be two sets. Then

Question

Let `P={theta:sintheta-costheta=sqrt2costheta}and Q={theta: sintheta+costheta=sqrt2sintheta}` be two sets. Then

Let `P={theta:sintheta-costheta=sqrt2costheta}and Q={theta: sintheta+costheta=sqrt2sintheta}` be two sets. Then
A. `psubQ and Q-P=phi`
B. `QcancelsubP`
C. `PcancelsubQ`
D. P=Q

Monjur Alahi

6 views

2025-01-04 04:42

1 Answers

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Salim Ahmed Kawsar · Accepted Answer · 2023-02-05T15:29:48+06:00

Salim Ahmed Kawsar

Correct Answer - D
In set P, `sintheta=(sqrt2+1)costheta`
`or tantheta=sqrt2+1`
In set Q, `(sqrt2-1)sintheta=costheta`
`or tan thetaa=1/(sqrt2-1)=sqrt2+1`
`rArr P=Q`

6 views Answered 2023-02-05 15:29