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4 years ago

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

Mathematics

1 answer:

Serhud [2]4 years ago

7 0

Answer:

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

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