Pertanyaan

Jika diketahui sinA= 4 3 ,tentukan cosA , tanA , secA , cosecA ,dan cotA !

Jika diketahui $sin A= \frac{3}{4}$ ,tentukan $cos A$ , $tan A$ , $sec A$ , $cosec A$ , dan $cot A$ !

H. Eka

Master Teacher

Mahasiswa/Alumni Universitas Pendidikan Indonesia

Jawaban terverifikasi

Jawaban

, , , , dan

text cos A= end text 1 fourth square root of 7

text tan A= end text 3 over 7 square root of 7

text sec A= end text 4 over 7 square root of 7

, dan

text cot A= end text 1 third square root of 7

Pembahasan

Jika diketahui , maka sudut A dapat digambarkan sebagai berikut. Dengan demikian, , , , , dan

Jika diketahui text sin A= end text 3 over 4 , maka sudut A dapat digambarkan sebagai berikut.

$cos text A end text equals fraction numerator text sisi samping end text over denominator text sisi miring end text end fraction equals fraction numerator square root of 7 over denominator 4 end fraction$

$table attributes columnalign right center left columnspacing 0px end attributes row cell tan space text A end text end cell equals cell fraction numerator text sisi depan end text over denominator text sisi samping end text end fraction end cell row blank equals cell fraction numerator 3 over denominator square root of 7 end fraction cross times fraction numerator square root of 7 over denominator square root of 7 end fraction equals 3 over 7 square root of 7 end cell end table$

$table attributes columnalign right center left columnspacing 0px end attributes row cell text sec A end text end cell equals cell fraction numerator 1 over denominator cos space A end fraction end cell row blank equals cell fraction numerator 4 over denominator square root of 7 end fraction cross times fraction numerator square root of 7 over denominator square root of 7 end fraction equals 4 over 7 square root of 7 end cell end table$

$text cosec A= end text fraction numerator 1 over denominator text sin A end text end fraction equals 4 over 3$

$text cot A= end text fraction numerator 1 over denominator text tan A end text end fraction equals fraction numerator square root of 7 over denominator 3 end fraction$

Dengan demikian, text cos A= end text 1 fourth square root of 7 , text tan A= end text 3 over 7 square root of 7 , text sec A= end text 4 over 7 square root of 7 , text cosec A= end text 4 over 3 , dan text cot A= end text 1 third square root of 7