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If sinA + sin2A = 1, then the value of the expression (cos2A + cos4A) is ______. - Mathematics

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प्रश्न

If sinA + sin2A = 1, then the value of the expression (cos2A + cos4A) is ______.

विकल्प

  • 1

  • `1/2`

  • 2

  • 3

MCQ
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उत्तर

If sinA + sin2A = 1, then the value of the expression (cos2A + cos4A) is 1.

Explanation:

Given,

sinA + sin2A = 1

⇒ sinA = 1 – sin2A = cos2A   ...[∵ sin2θ + cos2θ = 1]

On squaring both sides, we get

sin2A = cos4A

⇒ 1 – cos2A = cos4A

⇒ cos2A + cos4A = 1

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  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 8: Introduction To Trigonometry and Its Applications - Exercise 8.1 [पृष्ठ ९०]

APPEARS IN

एनसीईआरटी एक्झांप्लर Mathematics [English] Class 10
अध्याय 8 Introduction To Trigonometry and Its Applications
Exercise 8.1 | Q 9 | पृष्ठ ९०

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