Discussion
The value of \(cosec(75°+\theta) - sec(15°-\theta) - tan(55°+\theta) + cot(35°-\theta)\) is:
Answer: B
We use the complementary angle identities: \(\sec(90°-A) = \csc A\) and \(\cot(90°-A) = \tan A\).
\(\sec(15°-\theta) = \sec(90° - (75°+\theta)) = \csc(75°+\theta)\).
\(\cot(35°-\theta) = \cot(90° - (55°+\theta)) = \tan(55°+\theta)\).
The expression becomes: \(\csc(75°+\theta) - \csc(75°+\theta) - \tan(55°+\theta) + \tan(55°+\theta) = 0\).
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