Question

If sin A = \(\frac {8}{17}\), what will be the value of cos A sec A?

(a) 2

(b) -1

(c) 1

(d) 0

This question was posed to me by my college director while I was bunking the class.

My doubt is from Trigonometric Ratios in section Trigonometry of Mathematics – Class 10

Answer 1

The correct option is (c) 1

Easy explanation: sin A = \(\frac {8}{17}\)

cos A sec A can be written as cos⁡A × \(\frac {1}{sec⁡A}\) = 1

∴ cos A sec A = 1