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Hey mate here is the answer.
Hope it helps you
Hope it helps you
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Heya !!!
( 3 Sin theta + 5 Cos theta ) = 5
We have,
( 3 Sin theta + 5 Cos theta )² + ( 5 Sin theta - 3Cos theta )² = ( 9 Sin² theta + 25Cos² theta + 30 Sin theta Cos theta ) + ( 25 Sin² theta + 9Cos² theta - 30 Sin theta Cos theta )
=> ( 34 Sin² theta + 34 Cos² theta )
=> 34 ( Sin² theta + Cos² theta )
=> 34 × 1
=> 34
=> 25 + ( 5 Sin theta- 3Cos theta )² = 34 [ Since 3 Sin theta + 5 Cos theta = 5 ]
=> ( 5 Sin theta - 3 Cos theta )² = 34-25
=> ( 5 Sin theta - 3 Cos theta )² = 9
=> ( 5 Sin theta - 3 Cos theta ) = ✓9
=> 5 Sin theta - 3 Cos theta = + 3 OR -3
Hence,
( 5 Sin theta - 3 Cos theta ) = ‡3
★ HOPE IT WILL HELP YOU ★
( 3 Sin theta + 5 Cos theta ) = 5
We have,
( 3 Sin theta + 5 Cos theta )² + ( 5 Sin theta - 3Cos theta )² = ( 9 Sin² theta + 25Cos² theta + 30 Sin theta Cos theta ) + ( 25 Sin² theta + 9Cos² theta - 30 Sin theta Cos theta )
=> ( 34 Sin² theta + 34 Cos² theta )
=> 34 ( Sin² theta + Cos² theta )
=> 34 × 1
=> 34
=> 25 + ( 5 Sin theta- 3Cos theta )² = 34 [ Since 3 Sin theta + 5 Cos theta = 5 ]
=> ( 5 Sin theta - 3 Cos theta )² = 34-25
=> ( 5 Sin theta - 3 Cos theta )² = 9
=> ( 5 Sin theta - 3 Cos theta ) = ✓9
=> 5 Sin theta - 3 Cos theta = + 3 OR -3
Hence,
( 5 Sin theta - 3 Cos theta ) = ‡3
★ HOPE IT WILL HELP YOU ★
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