Question

Prove that (1+tan2

x) (1−sin2

x)=1.
​

Answer 1

Answer:

MATHS

MEDIUM

Solve the following equation:

(1−tanx)(1+sin2x)=1+tanx

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ANSWER

(1−tanx)(1+sin2x)=1+tanx

1+sin2x=

1−tanx

1+tanx

(sinx+cosx)

2

=

cosx−sinx

sinx+cosx

sinx+cosx=0 or cos

2

x−sin

2

x=1

tanx=−1 or cos2x=0

x=nπ+

4

3π

or x=

4

(2m+1)π