Question

plese give me solution


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Answer 1

Answer:

Step-by-step explanation:

given tan(picost)=cot(pisint)

tan(picost)=tan((pi/2)-pisint)

picost=(pi/2)-pisint

picost+pisint=pi/2

cost+sint=1/2

given

LHS:

cos(t-pi/4)

costcos(pi/4)+sintsin(pi/4)

cost(1/sqrt(2))+sint(1/sqrt(2))

=(1/sqrt(2))(cost+sint)

=(1/sqrt(2))*(1/2)

=1/2sqrt(2)

=RHS