Question

prove that Sec A(1-sin A)( sec A+tan A) =1​

Answer 1

Answer:

Explanation

Step-by-step explanation:

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Answer 2

Step-by-step explanation:

LHS = Sec A(1-sin A)( sec A+tan A)

= ( SecA - secAsinA)( secA + tanA)

$= \left( secA - \frac{1}{cosA} \times sinA\right)(secA+tanA)$

$= ( SecA - tanA)(secA+tanA)$

$= sec^{2}A -tan^{2}A$

$= 1 \\= RHS$

Therefore.,

Sec A(1-sin A)( sec A+tan A) =1

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