Question

write the expression as the sin or cos of an angle: sin pi/5cos pi/2+sin pi/2cos pi/5

Answer 1

The expression can be written as sin (7pi /10)

What is Sine of an Angle ?

In a right angle triangle , The sine of an angle is the ratio of the perpendicular to the hypotenuse .

The expression given is

sin pi/5 cos pi/2+sin pi/2cos pi/5

sin (a + b) identity:

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

here a = pi/5

b = pi/2

Therefore it can be written as

sin (pi/5 + pi/2)

sin (7pi /10)

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