Question

Prove that (1+tan²ø) (1+sin ø )(1-sin ø )=1​

Answer 1

Answer:

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Answer 2

Step-by-step explanation:

Identites used:

(1 + tan^2 = sec^2)

(1 - sin^2 = cos^2)

Here's the proof:

$(1+tan^2)(1 + sin)(1-sin) = 1\\(sec^2)(1 - sin^2) = 1 \\(sec^2)(cos^2) = 1\\(\frac{1}{cos^2})(cos^2) = 1\\ 1 =1$