Question
Download Solution PDF cosec 20° - sec 20° का मान किसके बराबर है?
cosec 20° - sec 20° का मान किसके बराबर है?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFसंकल्पना:
त्रिकोणमितीय सर्वसमिका:
- (cos A× cos B) – (sin A × sin B) = cos(A + B)
- 2 × sin A × cos A = sin (2A)
- sin (90 - θ) = cos θ
गणना:
दिया गया है कि: √3 cosec 20° – sec 20°
चूँकि हम जानते हैं कि, cosec θ = 1/ sin θ और sec θ = 1/ cos θ
चूँकि हम जानते हैं कि, cos 30° = √3 / 2, sin 30° = ½
चूँकि हम जानते हैं कि, (cos A × cos B) – (sin A × sin B) = cos(A + B)
चूँकि हम जानते हैं कि, 2 × sin A × cos A = sin (2A)
चूँकि हम जानते हैं कि, sin (90 - θ) = cos θ
⇒ 4
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