What is the value of sin(260)cos(20)-cos(260)sin(20) ?

The value of sin(260)cos(20)-cos(260)sin(20) is -(sqrt(3))/2

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sin(260)cos(20)-cos(260)sin(20)

sin (26 0^{\circ}) cos (2 0^{\circ}) - cos (26 0^{\circ}) sin (2 0^{\circ})

- \frac{3}{2}

Solution steps

sin (26 0^{\circ}) cos (2 0^{\circ}) - cos (26 0^{\circ}) sin (2 0^{\circ})

Rewrite using trig identities:

sin (24 0^{\circ})

= sin (24 0^{\circ})

Rewrite using trig identities:

sin (18 0^{\circ}) cos (6 0^{\circ}) + cos (18 0^{\circ}) sin (6 0^{\circ})

= sin (18 0^{\circ}) cos (6 0^{\circ}) + cos (18 0^{\circ}) sin (6 0^{\circ})

Use the following trivial identity:

sin (18 0^{\circ}) = 0

Use the following trivial identity:

cos (6 0^{\circ}) = \frac{1}{2}

Use the following trivial identity:

cos (18 0^{\circ}) = (- 1)

Use the following trivial identity:

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

= 0 \cdot \frac{1}{2} + (- 1) \frac{3}{2}

Simplify

= - \frac{3}{2}

- ln (cos (1))

arcsin (- \frac{2}{3})

arcsec (\frac{6}{5})

cos (- 1 (- \frac{1}{2}))

sin (2) (70)

What is the value of sin(260)cos(20)-cos(260)sin(20) ?
The value of sin(260)cos(20)-cos(260)sin(20) is -(sqrt(3))/2