Question

If \[ \tan\alpha=-\frac{7}{24}, \qquad \sec\beta=\frac{61}{60} \] and both \(\alpha,\beta\) lie in the same quadrant, then \[ \cos(\alpha+\beta)= \]

• A. \(\dfrac{1363}{1525}\)
• B. \(\dfrac{1236}{1525}\)
• C. \(\dfrac{23}{24}\)
• D. \(\dfrac{55}{61}\)

Hint:

When trigonometric ratios and quadrant information are given, first determine the signs of sine and cosine. Then use standard angle-sum identities directly.

Answer 1

The Correct Option is A