Buktikan identitas trigonometri berikut Cot B + tan B = csc B × sec B Mohon bantuannya. Ini materi kls X. Segera ya

cot B+ tan B = csc B × sec B
(1/tanB) + tanB = 1/sinB x 1/cosB
1/(sinB/cosB) + (sinB/cosB) = 1/(sinB.cosB)

cosB/sinB + sinB/cosB = 1/sinB.cosB
Samakan penyebut ruas kiri
(cos^2 B + sin^2 B)/(sinB.cosB) = 1/sinB.cosB

1/(sinB.cosB) = 1/sinB.cosB

Terbukti

Bab Trigonometri
Matematika SMA Kelas X

cot B + tan B = 1/tan B + tan B
cot B + tan B = (1 + tan² B)/tan B
cot B + tan B = sec² B x 1/tan B
cot B + tan B = sec B x (sec B x cos B)/sin B
cot B + tan B = 1/cos B x 1 x 1/sin B
cot B + sin B = sec B x cosec B
cot B + sin B = cosec B x sec B

terbukti