A) \( \Large \frac{ \pi }{4}rad \) |
B) \( \Large \frac{ \pi }{3}rad \) |
C) \( \Large \frac{ \pi }{5}rad \) |
D) \( \Large \frac{ \pi }{10}rad \) |
C) \( \Large \frac{ \pi }{5}rad \) |
Given that, diameter of circular wire = 10 cm,
Length of wire = \( \Large 10 \pi \)
Hence, required angle \( \Large = \frac{length\ of\ arc }{radius\ of\ big\ circle } \)
\( \Large = \frac{10 \pi }{50}=\frac{ \pi }{5} rad \)
1). The greatest and least value of \( \Large \sin x \cos\ x \) are:
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2). If \( \Large A = \sin^{2} \theta + \cos^{4} \theta \), then for all real values of \( \Large \theta \)
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3). \( \Large \tan \frac{2 \pi }{5} - \tan \frac{ \pi }{15} - \sqrt{3} \tan \frac{2 \pi }{5} \tan \frac{ \pi }{15} \) is equal to:
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4). If \( \Large A = 130 ^{\circ} and\ x=\sin A + \cos A \), then:
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5). If \( \Large A+B+C= \pi \ and\ \cos A = B \cos C,\ then\ \tan B \tan C \) is equal to:
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6). The period of \( \Large \sin^{2} \theta \) is
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7). If \( \Large y = \sin^{2} \theta + cosec^{2} \theta \), \( \Large \theta \ne 0 \), then
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8). If \( \alpha \) is a root of \( \Large 25 \cos^{2} \theta + 5 \cos \theta - 12 = 0,\) \( \Large \frac{\pi}{2} < \alpha < \pi \), then \( \Large sin 2\alpha \) is equal to
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9). The value of \( \Large \cos \frac{ \pi }{65} \cos \frac{2 \pi }{65} \cos \frac{4 \pi }{65}.....\cos \frac{32 \pi }{65} \) is
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10). If \( \Large \tan x + \cot x = 2,\ then\ \sin^{2n}x + \cos^{2n}x \) is equal to:
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