What is the value of sin(195)-sin(75) ?

The value of sin(195)-sin(75) is -sqrt(3/2)

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sin(195)-sin(75)

sin (19 5^{\circ}) - sin (7 5^{\circ})

- \frac{3}{2}

Solution steps

sin (19 5^{\circ}) - sin (7 5^{\circ})

Rewrite using trig identities:

2 sin (6 0^{\circ}) cos (13 5^{\circ})

= 2 sin (6 0^{\circ}) cos (13 5^{\circ})

Use the following trivial identity:

sin (6 0^{\circ}) = \frac{3}{2}

Use the following trivial identity:

cos (13 5^{\circ}) = - \frac{2}{2}

= 2 \cdot \frac{3}{2} (- \frac{2}{2})

Simplify

2 \cdot \frac{3}{2} (- \frac{2}{2}) : - \frac{3}{2}

= - \frac{3}{2}

40 π [0.6 + (\frac{sin ( 8 π \cdot 0.6 )}{8 π})]

50 cos (2 0^{\circ})

tan (arccos (\frac{6}{7}))

9 \cdot cos (3 0^{\circ})

\frac{2 - 2 sin ( \frac{π}{4} )}{cos ( \frac{π}{4} )}

What is the value of sin(195)-sin(75) ?
The value of sin(195)-sin(75) is -sqrt(3/2)