Express the ratios cos A, tan A and sec A in terms of sin A.
Solution:
Trigonometric ratios are defined as the values of all trigonometric functions based on the ratio of sides in a right-angled triangle.
We know that,
sin2 A + cos2 A = 1
So,
cos A = √(1 – sin2 A)
tan A = sin A/cos A = sin A/ √(1 – sin2 A)
sec A = 1/cos A = 1/ (√1 – sin2 A)
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