i) Simplify (1 - sin x) (1 + sin x) (1 + tan^2 x)
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i) Simplify (1 - sin x) (1 + sin x) (1 + tan^2 x)
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Answer:
1
Step-by-step explanation:
(1+sin x)(1-sin x) this is in the form of (a+b)(a-b) which is a²-b²
so the value f (1+sin x)(1-sin x) is (1-sin²x)
and 1-sin²x=cos²x
so we have 1+tan²x also which is sec²x
sec²x=1/cos²x
so the question is simply:
cos²x(1/cos²x) they both get cancelled and we are left out with 1
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