Question
Download Solution PDFtan2θ + cot2θ - sec2θ cosec2θ విలువ:
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFఇచ్చినవి:
tan2θ + cot2θ - sec2θ cosec2θ
ఉపయోగించిన భావన:
1. tanα = sinα/cosα
2. cotα = 1/tanα
3. secα = 1/cosα
4. cosecα = 1/sinα
5. (a + b)2 - 2ab = a2 + b2
6. sin2α + cos2α = 1
గణన:
tan2θ + cot2θ - sec2θ cosec2θ
⇒
⇒
⇒
⇒
⇒
⇒ -2
∴ అవసరమైన సమాధానం -2.
Shortcut Trick
ఈ ప్రశ్నను పరిష్కరించడానికి విలువను ఉంచే పద్ధతిని ఉపయోగించండి,
Use θ = 45°
tan2θ + cot2θ - sec2θ cosec2θ
⇒ 12 + 12 - (√2)2(√2)2
⇒ 1 + 1 - 4
⇒ 2 - 4 = - 2
∴ ఈ ప్రశ్నకు సరైన సమాధానం -2.
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