GCEMathematicsTrigonometry2019

If sin θ = 3/5, find cos θ, given that θ is acute.

A4/5CORRECT
B3/4
C5/4
D5/3
AI
Toaster Teacher
Why the answer is A, and why the others tempt you.
Using the Pythagorean identity, if sin θ = 3/5, then the opposite side is 3 and hypotenuse is 5, so the adjacent side = √(5² - 3²) = √(25 - 9) = √16 = 4. Therefore cos θ = adjacent/hypotenuse = 4/5. The other options arise from common errors such as inverting the ratio or using the wrong sides.
Want this in Pidgin, Yoruba, Igbo or Hausa? Sign up free →

Practice more Mathematics questions

GCE Mathematics has thousands more questions like this — with Worked answers on every one.