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Find the value of cos 2A, A lies in the first quadrant, when tan A 1663 - Mathematics

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प्रश्न

Find the value of cos 2A, A lies in the first quadrant, when tan A  `16/63`

योग

उत्तर

cos 2A = `(1 - tan^2"A")/(1 + tan^2"A")`

= `(1 - (16/63)^2)/(1 + (16/63)^2`

= `((63)^2 - (16)^2)/((63)^2 + (16)^2`

= `((63 + 16) (63 - 16))/(3969 + 256)`

= `(79 xx 47)/4225`

= `3713/4225`

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Trigonometric Functions and Their Properties
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 3: Trigonometry - Exercise 3.5 [पृष्ठ ११७]

APPEARS IN

सामाचीर कलवी Mathematics - Volume 1 and 2 [English] Class 11 TN Board
अध्याय 3 Trigonometry
Exercise 3.5 | Q 1. (iii) | पृष्ठ ११७

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