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Find the principal value of the following: cos-1(sqrt3/2) - Mathematics

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प्रश्न

Find the principal value of the following:

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

योग
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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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अध्याय 2: Inverse Trigonometric Functions - Exercise 2.1 [पृष्ठ ४१]

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एनसीईआरटी Mathematics Part 1 and 2 [English] Class 12
अध्याय 2 Inverse Trigonometric Functions
Exercise 2.1 | Q 2 | पृष्ठ ४१

वीडियो ट्यूटोरियलVIEW ALL [3]

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