Question

1+cosAsinA​+sinA1+cosA​=2cosecA​

Answer 1

Answer:

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Class 11

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>>Trigonometric Functions

>>Trigonometric Functions of Sum and Difference of Two angles

>>Prove 1 + cosA/sinA + sinA/1 + cosA = 2

Question

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Prove

sinA

1+cosA

+

1+cosA

sinA

=2cosec A

Medium

Solution

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Verified by Toppr

L.H.S. =

sinA

1+cosA

+

1+cosA

sinA

=

sinA(1+cosA)

(1+cosA)(1+cosA)+sinAsinA

=

(1+cosA)sinA

(1+cosA)

2

+sin

2

A

=

(1+cosA)sinA

1+cos

2

A+2cosA+sin

2

A

=

(1+cosA)sinA

1+2cosA+1

=

(1+cosA)sinA

2+2cosA

=

(1+cosA)sinA

2(1+cosA)

=2

sinA

1

=2cosecA

=R.H.S

Hence proved.

Answer 2

Answer:

hope it helps you study well

Step-by-step explanation:

ans is R.H.S