COMEDK · Maths · 8. Trigonometric Ratios & Identities
\(\text { If } \operatorname{cosec}(90+A)+x \cos A \cot (90+A)=\sin (90+A) \text { then the value of } x \text { is }\)
- A \(\operatorname{cosec} A\)
- B \(\cot A\)
- C \(\tan A\)
- D \(\sin A\)
Answer & Solution
Correct Answer
(C) \(\tan A\)
Step-by-step Solution
Detailed explanation
Using trigonometric identities for allied angles: \(\operatorname{cosec}(90^{\circ} + A) = \sec A\) \(\cot(90^{\circ} + A) = -\tan A\) \(\sin(90^{\circ} + A) = \cos A\) Substituting these into the given equation: \(\sec A + x \cos A (-\tan A) = \cos A\)…
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