Question

if 5 cot theta is equals to 12 find value of cosec theta + sec theta ​

Answer 1

Answer:

5 cot theta = 12

Hence cot theta = 12/5

Now:

cot theta = B/P

Hence B=12,P=5

Now apply Pythagoras' Theorem:

B*pow.2+P*pow.2=H*pow.2

144+25=H square

H= Sq.Root of 169

H=13

Hence H=13,P=5,B=12

Cosec theta = H/P = 13/5

And sec theta = H/B = 13/12

Hence cosec theta+sec theta:

13/5+13/12 = (156+65)/60

= 221/60 or 3.684 (approx)