Question

Write the value of (1 - Sin A) (1 + sin a) (1 + tan² A).

Answer 1

Answer:

1

Step-by-step explanation:

[ 1+ tan^2 theta] [ 1 + sin theta ] [ 1- sin theta ]

= sec^2 theta * [ 1 - sin^2 theta ]

= sec^2 theta * cos^2theta

= 1 / cos^2theta * cos^2 theta

= 1.

Answer 2

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(1 - Sin A) (1 + sin a) (1 + tan² A).
$(1 - { sin}^{2} a)(1 + {tan}^{2} a)$
${cos}^{2} a \times {sec}^{2} a$
${cos}^{2} a \times \frac{1}{ {cos}^{2}a }$
$1$

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