Math, asked by Protish, 12 hours ago

(sec a+tan a)(1-sin a)​

Answers

Answered by mamatachaudhari6901
1

Answer:

(secA+tanA)(1−sinA)

=(

cosA

1

+

cosA

sinA

)(1−sinA)

=(

cosA

1+sinA

)(1−sinA)

=

cosA

(1+sinA)(1−sinA)

=

=

cosA

(1−sin

2

A)

=

cosA

cos

2

A

=cosA

∴(secA+tanA)(1−sinA)=cosA

Hence, the answer is cosA.

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