Question

The value of \(\csc^2 67^\circ - \tan^2 23^\circ\) is equal to

• A. -1
• B. 1
• C. 0
• D. \(\infty\)

Hint:

Use trigonometric identities to simplify expressions involving secant, cosecant, and tangent functions.

Answer 1

The Correct Option is C

Using the identity \(\csc^2 \theta = 1 + \cot^2 \theta\) and \(\tan^2 \theta = \sec^2 \theta - 1\), we can simplify the expression and find that the value of \(\csc^2 67^\circ - \tan^2 23^\circ = 0\). Thus, the correct answer is 0.