What is the value of cos(75)cos(15)-sin(75)sin(15) ?

The value of cos(75)cos(15)-sin(75)sin(15) is 0

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cos(75)cos(15)-sin(75)sin(15)

cos (7 5^{\circ}) cos (1 5^{\circ}) - sin (7 5^{\circ}) sin (1 5^{\circ})

0

Solution steps

cos (7 5^{\circ}) cos (1 5^{\circ}) - sin (7 5^{\circ}) sin (1 5^{\circ})

Rewrite using trig identities:

cos (9 0^{\circ})

= cos (9 0^{\circ})

Use the following trivial identity:

cos (9 0^{\circ}) = 0

= 0

\frac{22}{tan ( 1 2 ^{\circ} )}

cos (arctan (- \frac{2}{3}))

sin (3 0^{\circ}) \cdot 5

3 cos (\frac{5 π}{4})

\frac{2 tan ( \frac{π}{10} )}{1 - tan ^{2} ( \frac{π}{10} )}

What is the value of cos(75)cos(15)-sin(75)sin(15) ?
The value of cos(75)cos(15)-sin(75)sin(15) is 0