What is the value of cos(35)cos(10)-sin(35)sin(10) ?

The value of cos(35)cos(10)-sin(35)sin(10) is (sqrt(2))/2

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cos(35)cos(10)-sin(35)sin(10)

cos (3 5^{\circ}) cos (1 0^{\circ}) - sin (3 5^{\circ}) sin (1 0^{\circ})

\frac{2}{2}

Solution steps

cos (3 5^{\circ}) cos (1 0^{\circ}) - sin (3 5^{\circ}) sin (1 0^{\circ})

Rewrite using trig identities:

cos (4 5^{\circ})

= cos (4 5^{\circ})

Use the following trivial identity:

cos (4 5^{\circ}) = \frac{2}{2}

= \frac{2}{2}

3 csc (3 7^{\circ})

8 \cdot tan (4 5^{\circ})

csc (\frac{13 π}{8})

cos (- 7 0^{\circ})

\frac{5 sin ( 3 6 ^{\circ} )}{8}

What is the value of cos(35)cos(10)-sin(35)sin(10) ?
The value of cos(35)cos(10)-sin(35)sin(10) is (sqrt(2))/2