Hey there. Pls help!! 100 points (if correct and will give brainliest)

#teamtrees #WAP (Water And Plant)

Note that tan (x+π2)=sin(x+π2)cos(x+π2).

For the numerator, use sin(A+B)=sin(A)cos(B)+cos(A)sin(B):

sin(x+π2)=sin(x)cos(π2)+cos(x)sin(π2)

=sin(x)⋅0+cos(x)⋅1

=cos(x)

In the denominator, use cos(A+B)=cos(A)cos(B)−sin(A)sin(B):

cos(x+π2)=cos(x)cos(π2)−sin(x)

Thus, we see that

tan(x+π2)=sin(x+π2)cos(x+π2)=cos(x)−sin(x)=−cot(x)

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step-by-step explanation: