Question

sin(60+a)cos(30-a)+cos(60-a)sin(30-a)

Answer 1

Step-by-step explanation:

sin(60+a + 30-a)

Since sina.cosb+cosa.sinb= sin(a+b)

Answer 2

FORMULA

sinAcosB + sinBcosA = sin (A + B)

SOLUTION

sin(60+a) cos(30-a) + cos(60+a) sin (30-a)

Applying formula

= sin (60+a + 30-a)

= sin 90°

= 1

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