TS EAMCET · Maths · Trigonometric Equations
If \(\triangle A B C\), if \(\cos A \cos B+\sin A \sin B \sin C=1\) and \(C=\frac{\pi}{2}\), then \(A: B=\)
- A \(1: 4\)
- B \(1: 3\)
- C \(1: 2\)
- D \(1: 1\)
Answer & Solution
Correct Answer
(D) \(1: 1\)
Step-by-step Solution
Detailed explanation
Given, \[ \begin{aligned} & \cos A \cos B+\sin A \sin B \sin C=1 \text { and } C=\frac{\pi}{2} \\ & \Rightarrow \quad \sin C=\sin \frac{\pi}{2}=1 \end{aligned} \] So, \(\cos A \cos B+\sin A \sin B(\mathrm{l})=\mathrm{l}\)…
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