If sin y=0•6. Find; cos y and tan y?

To find cos y and tan y, we can use the Pythagorean identity for trigonometric functions:

sin^2 y + cos^2 y = 1

Given that sin y = 0.6, we can find cos y as follows:

0.6^2 + cos^2 y = 1
0.36 + cos^2 y = 1
cos^2 y = 1 - 0.36
cos^2 y = 0.64
cos y = √0.64
cos y = 0.8

Now that we have found cos y, we can find tan y by using the definition of tangent:

tan y = sin y / cos y
tan y = 0.6 / 0.8
tan y = 0.75

Therefore, cos y = 0.8 and tan y = 0.75.

cos y = 0.8

Using the Pythagorean identity, sin² y + cos² y = 1, we have:

cos² y = 1 - sin² y = 1 - (0.6)² = 0.64
cos y = √0.64 = 0.8

tan y = 0.75

Using the definition of tangent, tan y = sin y / cos y, we have:

tan y = 0.6 / 0.8 = 0.75