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If `Cos^-1x + Cos^-1y =Pi/4,` Find the Value of `Sin^-1x+Sin^-1y` - Mathematics

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प्रश्न

If `cos^-1x + cos^-1y =pi/4,`  find the value of `sin^-1x+sin^-1y`

उत्तर

`cos^-1x + cos^-1y =pi/4`

⇒ `pi/2-sin^-1x+pi/2-sin^-1y=pi/4`      `[thereforecos^-1x=pi/2-sin^-1x]`

⇒ `pi-(sin^-1x+sin^-1y)=pi/4`

⇒ `sin^-1x+sin^-1y=(3pi)/4`

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पाठ 4: Inverse Trigonometric Functions - Exercise 4.10 [पृष्ठ ६६]

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आरडी शर्मा Mathematics [English] Class 12
पाठ 4 Inverse Trigonometric Functions
Exercise 4.10 | Q 2 | पृष्ठ ६६

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