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Tentukan nilai .

Pertanyaan

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.

Pembahasan Soal:

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 depan equals cell square root of 15 squared minus 12 squared end root end cell row blank equals cell square root of 225 minus 144 end root end cell row blank equals cell square root of 81 end cell row blank equals 9 row blank blank blank row cell sin space alpha end cell equals cell depan over miring end cell row blank equals cell 9 over 15 end cell row blank equals cell 3 over 5 end cell row blank blank blank row cell cos space alpha end cell equals cell samping over miring end cell row blank equals cell 12 over 15 end cell row blank equals cell 4 over 5 end cell row blank blank blank row cell tan space alpha end cell equals cell depan over samping end cell row blank equals cell 9 over 12 end cell row blank equals cell 3 over 4 end cell row blank blank blank row cell cot space alpha end cell equals cell samping over depan end cell row blank equals cell 12 over 9 end cell row blank equals cell 4 over 3 end cell row blank blank blank row cell sec space alpha end cell equals cell miring over samping end cell row blank equals cell 15 over 12 end cell row blank equals cell 5 over 4 end cell row blank blank blank row cell cosec space alpha end cell equals cell miring over depan end cell row blank equals cell 15 over 9 end cell row blank equals cell 5 over 3 end cell end table end style

Jadi, nilai dari begin mathsize 14px style sin space alpha equals 3 over 5 comma space cos space alpha equals 4 over 5 comma space tan space alpha equals 3 over 4 comma space sec space alpha equals 5 over 4 comma space cosec space alpha equals 5 over 3 comma space cot space alpha equals 4 over 3 end style.

Pembahasan terverifikasi oleh Roboguru

Terakhir diupdate 01 April 2021

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