हिंदी

Find the principal value of cos–1x, for x = 32.

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प्रश्न

Find the principal value of cos–1x, for x = `sqrt(3)/2`.

योग
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उत्तर

If `cos^-1 (sqrt(3)/2)` = θ, then cos θ = `sqrt(3)/2`

Since we are considering principal branch, θ ∈ [0, π].

Also, since `sqrt(3)/2` > 0, θ being in he first quadrant

Hence `cos^-1 (sqrt(3)/2) = pi/6`

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अध्याय 2: Inverse Trigonometric Functions - Solved Examples [पृष्ठ २०]

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एनसीईआरटी एक्झांप्लर Mathematics [English] Class 12
अध्याय 2 Inverse Trigonometric Functions
Solved Examples | Q 1 | पृष्ठ २०
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