The principal value of cos -1cos7 -6 is

The correct option is A 5π/6 cos^ 1(cosπ/6 )=cos^ 1(cos(2π 7π/6) ) =cos^ 1(cos5π/6 ) =5π/6 ...

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Principal Solution of Trigonometric Equation

The principal...

Question

The principal value of $c o s^{- 1} c o s \frac{7 π}{6}$ is

7π/6

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5π/6

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π/3

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π/6

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Solution

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c o s^{- 1} (c o s \frac{7 π}{6})

$c o s^{- 1} (c o s \frac{7 π}{6}) =$

{cos}^{- 1} (cos \frac{7 π}{6}) =

{cos}^{- 1} cos \frac{7 π}{6} .

{s i n}^{- 1} x, {c o s}^{- 1} x, {t a n}^{- 1} x

{t a n}^{- 1} x + {t a n}^{- 1} y = {t a n}^{- 1} \frac{x + y}{1 - x y}

x y < 1

π + {t a n}^{- 1} \frac{x + y}{1 - x y}

x y > 1

{c o s}^{- 1} (c o s \frac{7 π}{6})

{c o s}^{- 1} (c o s \frac{4 π}{3})

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