Question

2. Use the trigonometric subtraction formula for sine to verify this identity:
cos((π / 2) – x) = sin x

Answer 1

@dpasingh

Answer 2

Is this a multiple choice question?

Answer 3

no

Answer 4

@Blank 

Answer 5

cos(((π)/(2))-x)=sin(x)

Use the difference formula for cosine to simplify the expression. The formula states that cos(A-B) = cosA cosB + sinA sinB.
cos(((π)/(2)))*cos(x)+sin(((π)/(2)))*sin(x)

Multiply all terms in the polynomial
cos(((π)/(2)))cos(x)+sin(((π)/(2)))sin(x)

Take the cosine of (π)/(2) to get 0.
(0)(cos(x))+sin(((π)/(2)))sin(x)

Multiply cos(x) by each term inside the parentheses.
0+sin(((π)/(2)))sin(x)

Take the sine of (π)/(2) to get 1.
0+(1)(sin(x))

0+1(sin(x))

0+sin(x)

sin(x)

Answer 6

Does that help?

Answer 7

so what would I plug into those boxs?

Answer 8

that helps a ton! But what answer would I put in each box?

Answer 9

@Blank