Question

If tan ∅ = 3/4 then find the value of cos²∅ - sin²∅​

Answer 1

Answer:

7/25

Step-by-step explanation:

tan theta = 3/4 at theta = 37 degrees

cos 37 = 4/5

sin 37= 3/5

cos^2 37 - sin^2 37 = 16/25 - 9/25 = 7/25

or

tan theta = a/b

cos^2 - sin^2 = (a+b)/(a^2 + b^2)