Question

Buktikan 1 + tan² α =sec² α

Tolong dibantu ya, buat remedial matematika.

Answer 1

1 + tan²a = 1 + sin²a/cos²a
= cos²a/cos²a + sin²a/cos²a
= (cos²a + sin²a)/cos²a
= 1/cos²a
= sec²a

Q.E.D.

Answer 2

1 + tan^2 a = sec^2 a
1 + (sin^2 a / cos^2 a)
= cos^2 a/cos^2 a + sin^2 a / cos^2 a
= cos^2 a + sin^2 a / cos^2 a
= 1/cos^2 a
= sec^2 a (Terbukti)

^ = pangkat
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