What is the value of sin(15)cos(45)+cos(15)sin(45) ?

The value of sin(15)cos(45)+cos(15)sin(45) is (sqrt(3))/2

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sin(15)cos(45)+cos(15)sin(45)

sin (1 5^{\circ}) cos (4 5^{\circ}) + cos (1 5^{\circ}) sin (4 5^{\circ})

\frac{3}{2}

Solution steps

sin (1 5^{\circ}) cos (4 5^{\circ}) + cos (1 5^{\circ}) sin (4 5^{\circ})

Rewrite using trig identities:

sin (6 0^{\circ})

= sin (6 0^{\circ})

Use the following trivial identity:

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

= \frac{3}{2}

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

\frac{tan ( 4 5 ^{\circ} ) + tan ( 3 0 ^{\circ} )}{1 - tan ( 4 5 ^{\circ} ) tan ( 3 0 ^{\circ} )}

3 sin (\frac{5 π}{4})

tan (0.01)

sin (\frac{27 π}{2})

What is the value of sin(15)cos(45)+cos(15)sin(45) ?
The value of sin(15)cos(45)+cos(15)sin(45) is (sqrt(3))/2