Question

if cos A =6/10 find all other trigonometrically ratios of angle A​

Answer 1

Given that cosA = 6/10.

Also, cosA = adjacent side/hypotenuse

In a right angled triangle:

Altitude² + Base² = Hypotenuse²

Let the altitude be x

x² + 6² = 10²

x² + 36 = 100

x² = 100 - 36 = 64

x = √64 = 8

Now,

➡️ sinA = opposite side/hypotenuse = 8/10

➡️ tanA = opposite side/adjacent side = 8/6

➡️ cosecA = hypotenuse/opposite side = 10/8

➡️ secA = hypotenuse/adjacent side = 10/6

➡️ cotA = adjacent side/opposite side = 6/8

Trigonometry

Trigonometry is the measurement of angles and sides of a right angled triangle. Tri means three, gono means angles and metry means measurement.

It is the set of ratios and equations related to the sides and angles of a right angled triangle.