Question

If tan theta = 1/3, then determine the value of cos2theta - sin2theta/sin theta

Answer 1

Hiii baby

tan Ф = perpendicular/base = 3/4

Let perpendicular = 3x and base = 4x

According to pythagoras theorm

Hypotenuse² = perpendicular² + base²

= (3x)² + (4x)²

= 9x² + 16x²

= 25x²

Hypotenuse = √25x² = 5x

Sin Ф = perpendicular/hypotenuse = 3x/5x = 3/5

cos Ф = base/hypotenuse = 4x/5x = 4/5

cos² Ф - sin² Ф = (4/5)² - (3/5)²

= 16/25 - 9/25

= 7/25

Answer 2

hope it helps

pls mark it as the brainliest answer :)

GOOD LUCK FOR UR EXAMS !!