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Question:

Which of the following pair is a correct trigonometric inter-relationship?

1−d,2−e,3−b,4−a

1−e,2−b,3−c,4−d

1−b,2−a,3−e,4−d

1−c,2−d,3−a,4−b

Solution:

We can write cosθ as 1
1/cosθ = 1/secθ ∴ cosθ = 1/secθ. (1)
Now, tanθ = sinθ/cosθ = 1/cosθ/sinθ = 1/cotθ ∴ tanθ = 1/cotθ (2)
cotθ = 1/tanθ (3)
sinθ = 1
1/sinθ = 1/cosecθ. (4)
Hence, the correct answer is 1−c,2−d,3−a,4−b