plzzzzzz solve. this. step. by. step
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Cos theta - Sin theta = ✓2 ( Given)
On squaring both sides we get,
(Cos theta - Sin theta)² = 2 Sin theta
=> Cos²theta + Sin²theta - 2 Cos theta × Sin theta = 2 Sin²theta
=> Cos² theta + 2Cos theta Sin theta = Sin² theta
=> Cos²theta + 2 Cos theta Sin theta + Sin²theta = Sin²theta + Sin²theta [ On adding Sin²theta both sides]
=> (Cos theta + Sin theta)² = 2 Sin²theta
=> ( Cos theta + Sin theta) = ✓2 Sin theta.
Hence,
( Cos theta + Sin theta) = ✓2 Sin theta.
(Cos theta + Sin theta) = ✓2 Sin theta.
HOPE IT WILL HELP YOU...... :-)
On squaring both sides we get,
(Cos theta - Sin theta)² = 2 Sin theta
=> Cos²theta + Sin²theta - 2 Cos theta × Sin theta = 2 Sin²theta
=> Cos² theta + 2Cos theta Sin theta = Sin² theta
=> Cos²theta + 2 Cos theta Sin theta + Sin²theta = Sin²theta + Sin²theta [ On adding Sin²theta both sides]
=> (Cos theta + Sin theta)² = 2 Sin²theta
=> ( Cos theta + Sin theta) = ✓2 Sin theta.
Hence,
( Cos theta + Sin theta) = ✓2 Sin theta.
(Cos theta + Sin theta) = ✓2 Sin theta.
HOPE IT WILL HELP YOU...... :-)
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