If sec θ = 4/√7, then the value of the given expression is:
A
20/7
B
0
C
4
D
None of these
Correct Option:
A
Explanation
Given sec θ = 4/√7, we have cos² θ = 7/16, sin² θ = 9/16, and tan² θ = 9/7. Thus csc² θ = 16/9 and cot² θ = 7/9. Substituting these values into the given expression makes the quantity under the square root equal to 400/49, so the value is 20/7.
