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Tentukan nilai .

Tentukan nilai begin mathsize 14px style sin space alpha comma space cos space alpha comma space tan space alpha comma space sec space alpha comma space cosec space alpha comma space cot space alpha end style.

Jawaban:

Nilai dari begin mathsize 14px style sin space alpha comma space cos space alpha comma space tan space alpha comma space sec space alpha comma space cosec space alpha comma space cot space alpha end style dapat dicari dengan perbandingan sisi pada trigonometri sebagai berikut.

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row miring equals cell square root of 12 squared plus 5 squared end root end cell row blank equals cell square root of 144 plus 25 end root end cell row blank equals cell square root of 169 end cell row blank equals 13 row blank blank blank row cell sin space alpha end cell equals cell depan over miring end cell row blank equals cell 12 over 13 end cell row blank blank blank row cell cos space alpha end cell equals cell samping over miring end cell row blank equals cell 5 over 13 end cell row blank blank blank row cell tan space alpha end cell equals cell depan over samping end cell row blank equals cell 12 over 5 end cell row blank blank blank row cell cot space alpha end cell equals cell samping over depan end cell row blank equals cell 5 over 12 end cell row blank blank blank row cell sec space alpha end cell equals cell miring over samping end cell row blank equals cell 13 over 5 end cell row blank blank blank row cell cosec space alpha end cell equals cell miring over depan end cell row blank equals cell 13 over 12 end cell end table end style

Jadi, nilai dari begin mathsize 14px style sin space alpha equals 12 over 13 comma space cos space alpha equals 5 over 13 comma space tan space alpha equals 12 over 5 comma space sec space alpha equals 13 over 5 comma space cosec space alpha equals 13 over 12 comma space cot space alpha equals 5 over 12 end style.

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