JEE Mains · Maths · STD 11 - 3. trignometrical ratios,functions and identities
The value of \(\left(\sin 70^{\circ}\right)\left(\cot 10^{\circ} \cot 70^{\circ}-1\right)\) is
- A \(2 / 3\)
- B \(1\)
- C \(0\)
- D \(3 / 2\)
Answer & Solution
Correct Answer
(B) \(1\)
Step-by-step Solution
Detailed explanation
\begin{aligned} & \left(\sin 70^{\circ}\right)\left(\cot 10^{\circ} \cot 70^{\circ}-1\right) \\ & =\sin 70^{\circ} \cot 10^{\circ} \cot 70^{\circ}-\sin 70^{\circ} \\ & =\cot 10^{\circ} \cos 70^{\circ}-\sin 70^{\circ} \\ & =\frac{\cos 10^{\circ} \cos 70^{\circ}-\sin 70^{\circ}…
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