show that sin theeta and cos theeta both are equal to one
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Answer:
correction: Show that
Sin² theta + cos² theta = 1
okay so let's consider first this one:
a) sin² theta/ cos² theta + cos theta = 1/ cos theta
=> sin² theta + cos² theta = 1/cos theta × cos theta
=> sin² theta + cos² theta = 1
hence proved that,
Sin² theta + Cos² theta = 1
second proof,
If sin theta = 3/5
( so will apply,
Sin² theta + Cos² theta = 1 )
=> ( 3/5 )² + Cos² theta = 1
=> 9/25 + cos² theta = 1
=> cos² theta = 1 - 9/25
=> cos² theta = 16/25
=> cos theta = √ 16/25 = 4/5
hence proved,
Sin² theta + Cos² theta = 1
so regarding this both proofs we can show that
Sin² theta + Cos² theta = 1
hope that it maybe helpful!!
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