What is the value of arcsin(sin((7pi)/2)) ?

The value of arcsin(sin((7pi)/2)) is -pi/2

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arcsin(sin((7pi)/2))

arcsin (sin (\frac{7 π}{2}))

- \frac{π}{2}

Decimal Notation

- 90

Solution steps

arcsin (sin (\frac{7 π}{2}))

Use the inverse trig property:

- \frac{π}{2}

arcsin (sin (\frac{7 π}{2}))

For

- \frac{π}{2} \leq x \leq \frac{π}{2}, a rcs in (s in (x)) = x

Rewrite using trig identities:

sin (\frac{7 π}{2}) = sin (- \frac{π}{2})

sin (\frac{7 π}{2})

sin (x + 2 π \cdot k) = sin (x)

= sin (\frac{7 π}{2} - 2 \cdot 2 π)

= sin (- \frac{π}{2})

= arcsin (sin (- \frac{π}{2}))

- \frac{π}{2} \leq - \frac{π}{2} \leq \frac{π}{2}

= - \frac{π}{2}

= - \frac{π}{2}

[14.26 - 1] \cdot tan (1.4 \cdot 21.33)

arccos (\frac{20}{52})

0.7 - (2.79 \cdot cos (68.9 6^{\circ}))

14 \cdot sin (3 5^{\circ})

arctan (\frac{138}{83})

What is the value of arcsin(sin((7pi)/2)) ?
The value of arcsin(sin((7pi)/2)) is -pi/2