Evaluate:1) cos((9pi)/4) 2) sin((-9pi)/4) 3) cot((-5pi)/4) 4) -cot(pi/4+17pi)

boitshupoO

boitshupoO

Answered question

2021-08-31

Evaluate:
1) cos(9π4)
2) sin(9π4)
3) cot(5π4)
4) cot(π4+17π)

Answer & Explanation

Talisha

Talisha

Skilled2021-09-01Added 93 answers

1) cos(9π4)=cos(2π+π4)
=cos(π4)
=12
2) sin(9π4)=sin(9π4)
=sin(2π+π4)
=sin(π4)
=12
3) cot(5π4)=cot(5π4)
=cot(3π2π4)
=cot(π4)
=1
4) cot(π4+17π)=cot(69π4)
=cot(18π3π4)
=[cot(3π4)]
=cot(3π4)
=cot(ππ4)
=cot(π4)
=-1

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