Question

If cosθ=4/5, then the value of cosecθ/1+cotθ is -

(a) 7/5 (b) 2/7 (c) 5/7 (d) 4/7​

Answer 1

Answer:

Step-by-step explanation:

Answer 2

Answer:

option (c) 5/7

Step-by-step explanation:

cos theta=adjacent side/hypotenuse

cos=4/5

As per pythagoras theorem

(hypotenuse)²=(opposite)²+(adjacent)²

(5)²=(opposite)²+(4)²

25=(opposite)²+16

25-16=(opposite)²

9=(opposite)²

√9=opposite side

3=opposite side

cosec theta= hypotenuse/opposite

cosec theta=5/3

cot theta=adjacent side/opposite side

cot=4/3

According to question

cosec/1+cot

5/3/1+4/3

5/3/3+4/3

5/3/7/3

5/7

∴(c) 5/7

Thank you......