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Evaluate the Following Cosec3 30° Cos 60° Tan3 45° Sin2 90° Sec2 45° Cot 30° - Mathematics

Evaluate the Following

cosec3 30° cos 60° tan3 45° sin2 90° sec2 45° cot 30°

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Solution

cosec3 30° cos 60° tan3 45° sin2 90° sec2 45° cot 30°............(i)

By trigonometric ratios, we have

`cosec 30^@ = 2, cos 60^@ = 1/2, tan 45^@ = 1     sin 90^@ = 1  sec 45^@ = sqrt2   cot 30^@ = sqrt3`

By substituting above values in (i), we get

`[2]^3 . 1/2 . (1)^3 . (1)^2 (sqrt2). sqrt3`

`=> 8. 1/2 . 1. 2 . sqrt3 => 8sqrt3`

  Is there an error in this question or solution?
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APPEARS IN

RD Sharma Class 10 Maths
Chapter 10 Trigonometric Ratios
Exercise 10.2 | Q 11 | Page 42
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