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S_A_V [24]
4 years ago
12

Which sum or difference identity would you use to verify that sin (90° + q) = cos q?

Mathematics
2 answers:
Mama L [17]4 years ago
6 0
Most likely cot x = cos x / sin x , but i'm still learning this myself. I hope it helps :)
Oksanka [162]4 years ago
6 0

We are given:

sin(90°+q) = cosq

Let us simplify the left side of equation first,

LHS: sin(90°+q)

Using the property:

sin(a+b)=sinacosb+sinbcosa

Let us expand sin(90°+q)

sin(90+q)=sin(90)cosq+sin(q)cos(90)

We know that,

sin 90 =1 and cos 90 = 0

Plugging these in the above equation,

sin(90+q)=(1)cosq+sin(q)(0)

sin(90+q)=cosq

RHS= cos q

Answer: So we can see that option b. sin (a +b) = sin a cos b + cos a sin b is the correct choice.

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