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Question Number 192623 by sciencestudentW last updated on 23/May/23

cot70+4cos70=?

cot70+4cos70=?

Answered by som(math1967) last updated on 23/May/23

 tan20+4sin20  =((sin20+4sin20cos20)/(cos20))  =((sin20+2sin40)/(cos 20))  =((sin 20+sin 40+sin 40)/(cos20))  =((2sin30cos10+sin40)/(cos20))  =((sin80+sin40)/(cos20))   =((2sin60cos20)/(cos20))  =(√3)

tan20+4sin20=sin20+4sin20cos20cos20=sin20+2sin40cos20=sin20+sin40+sin40cos20=2sin30cos10+sin40cos20=sin80+sin40cos20=2sin60cos20cos20=3

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