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SOORY BRO BUT I
DON'T KNOW THE ANS
OF THIS QUESTION
SORRY
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Step-by-step explanation:
sin x (1 + tan x) + cos x (1 + cot x)
=> sin x + sin x tan x + cos x + cos x cot x
=> sin x + sin x (sin x/cos x) + cos x +
cos x (cos x/sin x)
=> sin x + sin²x / cos x + cos²x / sin x
=> (sin x cos x + sin²x)/cos x + (sin x cos x + cos²x)/sin x
=> [sin²x cos x + sin³x + sin x cos²x + cos³x] / sin x cos x
=> [sin²x (cos x + sin x) + cos²x (sin x + cos x)]/sin x cos x
=> [(sin x + cos x)(sin²x + cos²x)] / sin x cos x
=> [(sin x + cos x)(1)] / sin x cos x
=> (sin x + cos x)/sin x cos x
=> 1/cos x + 1/sin x
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