Question

sinx + cosx = 1/5 then tan2x is​

Answer 1

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Answer 2

Answer:

Step-by-step explanation:

sinx+cosx=

1

5

 

we can replace cosx=

√

1-sin2(x)

=>

√

1-sin2(x)

=

1

5

 

-sinx

squaring on both sides

1-sin2x=

1

25

 

+sin2x-

2

5

 

sinx

on solving we get

=>50sin2x-10sinx-24=0

=>50sin2x-40sinx+30sinx-24=0

=>(5sinx-4)(10sinx+6)=0

=> thus, sinx=

4

5

 

or-

3

5

 

thus cosx=-

3

5

 

or

4

5

 

thus tanx=-

4

3

 

or-

3

4

 

tan2x=

2tanx

1-tan2x

 

substituting values of tanx we get tan2x=

24

7

 

or-

24

7