मराठी

Find the principal value of the following: cos^(–1) (sqrt3/2)

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प्रश्न

Find the principal value of the following:

`cos^(-1) (sqrt3/2)`

बेरीज
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उत्तर

Let `cos^(-1) (sqrt3/2) = y`

Then, `cos y = sqrt3/2 = cos (pi/6)`

We know that the range of the principal value branch of cos−1 is

[0, π] and `cos (pi/6) = sqrt3/2`

Therefore, the principal value of `cos^(-1) (sqrt3/2)` is `pi/6`.

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  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 2: Inverse Trigonometric Functions - EXERCISE 2.1 [पृष्ठ २६]

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एनसीईआरटी Mathematics Part 1 and 2 [English] Class 12
पाठ 2 Inverse Trigonometric Functions
EXERCISE 2.1 | Q 2. | पृष्ठ २६
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