AP EAMCET · Maths · Trigonometric Ratios & Identities
If \(\sec \theta+\tan \theta=2 / 3\), then in which quadrant does \(\theta\) lie in?
- A I
- B II
- C III
- D IV
Answer & Solution
Correct Answer
(D) IV
Step-by-step Solution
Detailed explanation
\[ \begin{aligned} & \text { } \sec \theta+\tan \theta=\frac{2}{3} \\ & \Rightarrow \sec \theta-\tan \theta=\frac{3}{2} \end{aligned} \] Eqs. (i) + (ii) \[ \Rightarrow \quad 2 \sec \theta=\frac{13}{6} \Rightarrow \sec \theta=\frac{13}{12} \] Eqs. (i) -(ii)…
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