Question

Given csc ⁡ A = 58 7 cscA= 7 58 ​ ​ and that angle A A is in Quadrant I, find the exact value of cos ⁡ A cosA in simplest radical form using a rational denominator

Answer 1

Answer:

3315 / 58√3315

Explanation:

From the question, you said that

Cosec A = 58 / 7

Cosec = 1 / sin and

Sin = opp / hyp, this means that

Cosec = hyp / opp with hypotenuse being 58 and opposite angle being 7

Using Pythagoras theorem, we know that

adj² = hyp² - opp²

adj² = 58² - 7²

adj² = 3364 - 49

adj² = 3315

adj = √3315

cos A = √3315 / 58, On rationalising the denominator, we have

√3315 / 58 * √3315 / √3315 =

3315 / 58√3315