Please help me solve this and also please show me the work :)

Given:

The figure of a right triangle.

To find:

All the six trigonometric ratios for the angle θ.

Solution:

Using the Pythagoras theorem, we get

Taking square root on both sides, we get

Now, the six trigonometric ratios for the angle θ are:

Therefore, the six trigonometric ratios are .

the correct option is 2.

step-by-step explanation:

according to the given information triangle abc is a right angle triangle with right angle at a. segment ab is 5 and segment ac is 7. point d is on segment bc and angles adb and adc are right angles.

it is given that triangles abd, cad, and cba are similar.

two triangles are similar if their corresponding sides are proportional.

in triangle cba, using pythagoras theorem

                      )

triangle abd and cba are similar,

                            (2)

triangle cad and cba are similar,

                      )

using (1), (2) and (3), we get

hence proved.

therefore option 2 is correct.