Question

tan 75 degress + cot 75 degress​

Answer 1

Answer:

100.

hope you get answer.

Answer 2

Answer:

Step-by-step explanation:

75= a +b=30+45

tan a +tan b

=tan(a+b)/1-tan a .tan b

=tan 30+tan 45/1-tan a.tan b

={(1/√3)+1}/{1-(1/√3)(1)}

=(√3+1)/(√3-1)

So,cot75°=1/tan75°

=(√3-1)/(√3+1)

Then,tan75°+cot75°={(√3+1)2+(√3-1)2}/{(√3)2-(1)2}

=(3+1+2√3+3+1-2√3)/(3-1)

=4.