Combine sin(pi/2)+cos(pi/2)

Math
sin(π2)+cos(π2)
Given the expression asin(π)+bcos(π), find the values of k and θ.
k=a2+b2
θ=tan-1(ba)
Calculate the value for k by substituting the coefficients from sin(π2) and cos(π2) into k=a2+b2.
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One to any power is one.
k=1+(1)2
One to any power is one.
k=1+1
Add 1 and 1.
k=2
k=2
Find the value for θ by substituting the coefficients from sin(π2) and cos(π2) into θ=tan-1(ba).
θ=tan-1(11)
Divide 1 by 1.
tan-1(1)
Linear combinations of trigonometric functions dictate that asin(π)+bcos(π)=ksin(π+θ). Substitute the values of k and θ.
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Combine sin(pi/2)+cos(pi/2)

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