Question

solve this trigonometry ​

Answer 1

Answer:

Sin0 - Cos0 + 1 / Sin0 + Cos0 - 1

Divide both sides by Cos0

Sin0/Cos0 - Cos0/Cos0 + 1/Cos0 /

Sin0/Cos0 + Cos0/Cos0 - 1/cos0

= tan0 + sec0 - 1 / tan0 - sec0 + 1

= tan0 + sec0 - 1 /

tan0 - sec0 + ( sec²0 - tan²0 )

= ( tan0 + sec0 - 1 ) /

( tan0 - sec0 ) + ( sec0 + tan0 )

( sec0 - tan0 )

[ a² - b² = ( a + b ) ( a - b ) ]

= ( tan0 + sec0 - 1 ) /

( sec0 - tan0 )( tan0 + sec0 -1 )

= 1 / sec0 - tan0 = RHS

( Hence proved )