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Jika cos space alpha equals p, untuk 0 less or equal than alpha less or equal than 90 degree,  tentukan nilai dari 1 minus cot squared alpha!

Jawaban:

Diketahui cos space alpha equals p, untuk 0 less or equal than alpha less or equal than 90 degree. Dengan menggunakan identitas trigonometri, nilai dari 1 minus cot squared alpha sebagai berikut.

table attributes columnalign right center left columnspacing 0px end attributes row cell 1 minus cot squared alpha end cell equals cell 1 minus fraction numerator 1 over denominator tan squared alpha end fraction end cell row blank equals cell 1 minus fraction numerator 1 over denominator sec squared alpha minus 1 end fraction end cell row blank equals cell 1 minus fraction numerator 1 over denominator begin display style fraction numerator 1 over denominator cos squared alpha end fraction end style minus 1 end fraction end cell row blank equals cell 1 minus fraction numerator 1 over denominator begin display style 1 over p squared end style minus 1 end fraction end cell row blank equals cell 1 minus fraction numerator 1 over denominator begin display style fraction numerator 1 minus p squared over denominator p squared end fraction end style end fraction end cell row blank equals cell 1 minus fraction numerator p squared over denominator 1 minus p squared end fraction end cell row blank equals cell fraction numerator 1 minus p squared over denominator 1 minus p squared end fraction minus fraction numerator p squared over denominator 1 minus p squared end fraction end cell row blank equals cell fraction numerator 1 minus p squared minus p squared over denominator 1 minus p squared end fraction end cell row blank equals cell fraction numerator 1 minus 2 p squared over denominator 1 minus p squared end fraction end cell row blank blank blank end table

Jadi, nilai dari 1 minus cot squared alpha yaitu fraction numerator 1 minus 2 p squared over denominator 1 minus p squared end fraction.

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