Math, asked by sandeepkumarji1978, 4 months ago

3-) Prove that sec A(1-sinA) (secA +tan A) = 1

Answers

Answered by prabhas24480

5

Answer ⤵️

We need to find value of (secA+tanA)(1−sinA)

Putting the values of secA and tanA as

secA=

cosA

1

tanA=

cosA

sinA

(

cosA

1

+

cosA

sinA

)(1−sinA)

=

cosA

1+sinA

(1−sinA)

=

cosA

1−sin

2

A

=

cosA

cos

2

A

.... (As 1−sin

2

A=cos

2

A)

=cosA

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