Evaluate the Following: `Cosec(Cos^-1 3/5)` - Mathematics

प्रश्न

Evaluate the following:

$\cos e c (\cos^{- 1} \frac{3}{5})$

उत्तर

$\cos e c (\cos^{- 1} \frac{3}{5}) = \cos e c [\sin^{- 1} \sqrt{1 - {(\frac{3}{5})}^{2}}]$ $[∴ \cos^{- 1} x = \sin^{- 1} \sqrt{1 - x^{2}}]$

$= \cos e c [\sin^{- 1} (\sqrt{1 - \frac{9}{25}})]$

$= \cos e c [\sin^{- 1} (\sqrt{\frac{16}{25}})]$

$= \cos e c [\sin^{- 1} \frac{4}{5}]$

$= \cos e c [\cos e c^{- 1} \frac{5}{4}]$

$= \frac{5}{4}$

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Inverse Trigonometric Functions (Simplification and Examples)

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Q 1.5 Q 1.4 Q 1.6

पाठ 4: Inverse Trigonometric Functions - Exercise 4.08 [पृष्ठ ५४]

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पाठ 4 Inverse Trigonometric Functions
Exercise 4.08 | Q 1.5 | पृष्ठ ५४

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