If 2sin square P - cos square P = 2. Find the value of P.
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p=60.............................
janashrirokade:
Nitin ur ans is wrong
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2sin²P - cos²P =2
⇒2sin²P -(1- sin²P) =2
⇒2sin²P -1 +sin²P =2
⇒3sin²P=3
⇒sin²P=1
⇒sin²P=sin²(π/2)
(If sin²θ=sin²y
then θ=nπ+-y) ( here +- means plus or minus)
⇒P=nπ+-(π/2)
⇒2sin²P -(1- sin²P) =2
⇒2sin²P -1 +sin²P =2
⇒3sin²P=3
⇒sin²P=1
⇒sin²P=sin²(π/2)
(If sin²θ=sin²y
then θ=nπ+-y) ( here +- means plus or minus)
⇒P=nπ+-(π/2)
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