What is the value of sin(265)cos(25)-cos(265)sin(25) ?

The value of sin(265)cos(25)-cos(265)sin(25) is -(sqrt(3))/2

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sin(265)cos(25)-cos(265)sin(25)

sin (26 5^{\circ}) cos (2 5^{\circ}) - cos (26 5^{\circ}) sin (2 5^{\circ})

- \frac{3}{2}

Solution steps

sin (26 5^{\circ}) cos (2 5^{\circ}) - cos (26 5^{\circ}) sin (2 5^{\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}

sin (1.33)

sin (\frac{π}{2}) cos (\frac{π}{2})

arctan^{2} (0)

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

tan (\frac{4 π}{6})

What is the value of sin(265)cos(25)-cos(265)sin(25) ?
The value of sin(265)cos(25)-cos(265)sin(25) is -(sqrt(3))/2