Question

If sin theta= 24/25 then find the value of tan square theta+ sec square theta

Answer 1

Sin theta = opposite/hypotenuse

From the above information we have opposite = 24 and hypotenuse is 25

Therefore by Pythagoras theorem we have

24^2 + x^2 = 25^2

576 + x^2 = 625

X^2 = 625 - 576

x^2 = 49

Therefore x = 7

Now, tan theta = opposite/adjacent

=> 24/7

Sec theta = 1/cos theta

=> cos theta = adjacent/hypotenuse

=> 7/25

Therefore tan sq.theta + sec sq.theta = (24/7)^2 + (7/25)^2 = 576/49 + 49/625

360000/49 + 1 = 735

I know the answer is wrong but still I tried!!!

... that’s the greatest achievement....