80 T (6 ws—1)(g s0>+ )7 = ,(6 509 + UIS— ) FT

1.	80 T (6 ws—1)(g s0>+ )7 = ,(6 509 + UIS— ) FT
Answer» LHS = ( 1 + sin∅ + cos∅)² use formula , ( a + b + c)² = a² + b² + c² + 2( ab + bc + ca) = 1 + sin²∅ + cos²∅ + 2( sin∅ × 1 + sin∅× cos∅ + cos∅ × 1 ) we know , sin²∅ + cos²∅= 1 so, = 1 + 1 + 2sin∅ + 2cos∅ + 2sin∅.cos∅ = 2 + 2sin∅ + 2cos∅ ( 1 + sin∅) = 2( 1 + sin∅) + 2cos∅( 1 + sin∅) = 2( 1 + sin∅) ( 1 + cos∅) = RHS you took some mistake in your question. question is ,proved that( 1 + sin∅ + cos∅)² = 2( 1 + sin∅ )( 1 + cos∅)

Answer»

LHS = ( 1 + sin∅ + cos∅)²

use formula , ( a + b + c)² = a² + b² + c² + 2( ab + bc + ca)

= 1 + sin²∅ + cos²∅ + 2( sin∅ × 1 + sin∅× cos∅ + cos∅ × 1 )

we know , sin²∅ + cos²∅= 1

so,

= 1 + 1 + 2sin∅ + 2cos∅ + 2sin∅.cos∅

= 2 + 2sin∅ + 2cos∅ ( 1 + sin∅)

= 2( 1 + sin∅) + 2cos∅( 1 + sin∅)

= 2( 1 + sin∅) ( 1 + cos∅) = RHS

you took some mistake in your question. question is ,proved that( 1 + sin∅ + cos∅)² = 2( 1 + sin∅ )( 1 + cos∅)

Discussion