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svp [43]
3 years ago
8

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]3 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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