Question

If sintheta+ Costheta = 2, The value of cosectheta . Sectheta is a) 1/2 b) 2/3 c) 1 d) 3​

Answer 1

Step-by-step explanation:

sin∅+cos∅=2

on squareing both side

(sin∅+cos∅)²=2²

sin²∅+cos²∅+2sin∅•cos∅=4

1+2sin∅•cos∅=4

2sin∅•cos∅=3

sin∅•cos∅=3/2

on taking resiprocal both side

1/(sin∅•cos∅)= 2/3

cosec∅•sec∅= 2/3

#666