Question

Express the ratios cos a and tan a in terms of sin a

Answer 1

Answer:

Step-by-step explanation:

sin^2 a + cos^2 a = 1

cos^2 a = sin^2 a - 1

cos a = √sin^2 a - 1

cos a = √[sin a - 1][sin a +1]

tan a = sin a/cos a

By using the ratio of cos a in terms of sin a

tan a = sin a/√[sin a - 1][sin a + 1]

Answer 2

sec A = (1/cos A) = (1/√(1 - sin2 A)) and tan A = (sin A/cos A) = (sin A/√(1-sin2 A))