Question

If tano =
then sine =if tan theta equals to minus 4 by 3 then sin theta equals to ​

Answer 1

Given: tanθ= -4/3

Also, tanθ= p/b

Now, let p= -4x and b= 3x

Then, H=

$\sqrt{ (- 4x) {}^{2} + (3x) {}^{2} }$

=

$\sqrt{16x { }^{2} + 9x {}^{2} }$

=

$\sqrt{25x {}^{2} }$

=5x

Now, sinθ= p/h

= -4x/5x = -4/5