Math, asked by rajanisuryawanshi198, 6 months ago

if sec x + tan x = m ,find the value of m²-1/m²+1
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Answers

Answered by mudilmathur
0

Answer:

MATHS

If secA+tanA=m, show that

m

2

+1

m

2

−1

=sinA

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ANSWER

m

2

+1

m

2

−1

=

(secA+tanA)

2

+1

(secA+tanA)

2

−1

=

sec

2

A+tan

2

A+2secAtanA+1

sec

2

A+tan

2

A+2secAtanA−1

=

sec

2

A+(tan

2

A+1)+2secAtanA

(sec

2

A−1)+tan

2

A+2secAtanA

=

2sec

2

A+2secAtanA

2tan

2

A+2secAtanA

=

2secA

2tanA

=

cosA

sinA

×cosA=sinA

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