
### Instruction: help me answer this question It is given that tan x = – 5/12. Find the value of sec x., think step by step
### Assistant: We know that 1 + tan^2 x = sec^2 x. Therefore, 1 + (-5/12)^2 = sec^2 x. Substituting the values, we get sec^2 x = 169/144. Thus, sec x = ± 13/12. Since x lies in the second quadrant, the value of sec x will be negative. Hence, sec x = – 13/12. , The answer is The value of sec x is – 13/12.
