Given, sinx=cos2x
⇒sinx=1−sin2x
⇒sin2x+sinx−1=0
⇒sinx=2(−1±5)
⇒sinx=2(5−1)
Now plotting the graph we get,
⇒Now by graph number of solutions in (0,10)=4
The number of solutions of the equation sinx=cos2x in the interval (0,10) is ______.
Held on 29 Jun 2022 · Verified 6 Jul 2026.
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