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Apabila  dan ,  dan  sudut lancip. Hitunglah: c.

Apabila begin mathsize 14px style sin space a equals 8 over 17 end style dan begin mathsize 14px style cos space beta equals 4 over 5 end stylebegin mathsize 14px style a end style dan begin mathsize 14px style beta end style sudut lancip. Hitunglah:

c. begin mathsize 14px style fraction numerator cot space a plus cot space beta over denominator 1 minus cot space a times cot space beta end fraction end style 

Jawaban:

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell fraction numerator c o t space alpha plus c o t space beta over denominator 1 minus c o t space alpha times c o t space beta end fraction end cell equals cell fraction numerator open parentheses begin display style 15 over 8 end style close parentheses plus open parentheses begin display style 4 over 3 end style close parentheses over denominator 1 minus open parentheses begin display style 15 over 8 end style close parentheses open parentheses begin display style 4 over 3 end style close parentheses end fraction end cell row blank equals cell fraction numerator open parentheses begin display style 77 over 24 end style close parentheses over denominator 1 minus open parentheses begin display style 60 over 24 end style close parentheses end fraction end cell row blank equals cell fraction numerator open parentheses begin display style 77 over 24 end style close parentheses over denominator open parentheses negative begin display style 36 over 24 end style close parentheses end fraction end cell row blank equals cell negative 77 over 36 end cell end table end style 

Dengan demikian, jawabannya adalah begin mathsize 14px style negative 77 over 36 end style.

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