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Ask iit jee aieee pet cbse icse state board community Community Discussion Question: Trigonometry
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[Post New]2 Apr 2008 21:09:23 IST
    Subject: Trigonometry
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rahulraj1 (14)

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Find  if sin-cos<0
    
[Post New]2 Apr 2008 21:30:58 IST
    Subject: Re:Trigonometry
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sboosy (3063)

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\sin(\theta)-\cos(\theta) < 0 \\ \\ \Rightarrow \sqrt{2}*[\sin(\theta - \frac{\pi}{4})] < 0 \\ \\ \mbox{We know} \ \sin \ \mbox{function is negative in 3rd and 4th quadrants.Thus} \\ \\ \pi<\theta-\frac{\pi}{4} < 2\pi \\ \\ \Rightarrow \theta \ \epsilon [0,\frac{\pi}{4}] \mbox{and} \ (\frac{5\pi}{4},2\pi]
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