Question

Sin y+cos y+tan y sin y=sec y+ cos y tan y Verify the identity with steps please!!!!

Answer 1

hello :

note : secy = 1 / cosy

tany = siny /cosy

sin y+cos y+tan y sin y = sin y+cos y+( siny /cosy)sin y

= ( siny cosy + cos²y + sin²y) / cosy

= (siny cosy +1) / cosy......because : cos²y+sin²y =1

= (siny cosy) / cosy + 1 / cosy

= (siny/cosy) × cosy + 1/cosy

sin y+cos y+tan y sin y = tany cosy + secy