Geek456 Geek456

22-04-2020
Mathematics

contestada

which sum or difference identity could be used to prove that sin(pi+q)=-sinq

Respuesta :

jimrgrant1 jimrgrant1

22-04-2020

Answer:

see explanation

Step-by-step explanation:

Using the Addition formula for sine

sin(x + y) = sinxcosy + cosxsiny

and sinπ = 0, cosπ = - 1, then

sin(π + q)

= sinπcosq + cosπsinq

= 0. cosq + (- 1)sinq

= 0 - sinq

= - sinq ← as required

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