What is the value of sin(97.5) ?

The value of sin(97.5) is (sqrt(2)sqrt(4-\sqrt{2)(-sqrt(3)-1)})/4

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sin(97.5)

sin (97. 5^{\circ})

\frac{2 4 - 2 ( - 3 - 1 )}{4}

Solution steps

sin (97. 5^{\circ})

Rewrite using trig identities:

\frac{1 - cos ( 19 5 ^{\circ} )}{2}

= \frac{1 - cos ( 19 5 ^{\circ} )}{2}

Rewrite using trig identities:

cos (19 5^{\circ}) = \frac{2 ( - 3 - 1 )}{4}

= \frac{1 - \frac{2 ( - 3 - 1 )}{4}}{2}

Simplify

\frac{1 - \frac{2 ( - 3 - 1 )}{4}}{2} : \frac{2 4 - 2 ( - 3 - 1 )}{4}

= \frac{2 4 - 2 ( - 3 - 1 )}{4}

- \frac{1}{2} sin (27 0^{\circ}) + 2

sin (\frac{23 π}{2})

coth (3)

\frac{sin ( 3 0 ^{\circ} )}{sin ( 20. 9 ^{\circ} )}

\frac{1}{2} arctan (\frac{1}{4})

What is the value of sin(97.5) ?
The value of sin(97.5) is (sqrt(2)sqrt(4-\sqrt{2)(-sqrt(3)-1)})/4