Question

If sinθ = 1/2 (p+1/p),
Find tan2θ.

Answer 1

Answer:

sinθ=

13

12

.....(1)(Given)

As we know that,

sinθ=

Hypotenuse

Perpendicular

.....(2)

Compring equation (1)&(2), we get

Perpendicular (p)=12

Hypotenuse (h)=13

Base (b)=?

By pythagoras theorem, we have

h

2

=p

2

+b

2

(13)

2

=(12)

2

=b

2

⇒b=

169−144

=5

Therefore,

tanθ=

Base

Perpendicular

⇒tanθ=

5

12

Now, as we know that,

tan2θ=

1−tan

2

θ

2tanθ

∴tan2θ=

1−(

5

12

)

2

2(

5

12

)

⇒tan2θ=

(

25

25−144

)

(

5

24

)

⇒tan2θ=−

119

120

Answer 2

Answer:

sorry bro it took me  too much to solve it.

Step-by-step explanation:

I hope it is correct and you might be helped by your sis......

see the attachments..

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