Question

If cot q =7/24, then find the value of sinq ×secq/ 1+cosecq×tanq

Answer 1

Answer:

we know that ,cot q= adjacent side/opposite side

adjacent side=7

opposite side=24

we can find the hypotenuse by Pythagoras theorem ,

So,let AB=7

BC=24

AB²+BC²=AC²

7²+24²=AC²

49+576=AC²

625=AC²

√625=AC

AC=25

sinq=24/25,secq=25/7,cosec q=25/24,tan q=24/7

24/25×25/7/1+25/24×24/7

= 5.75...