Write the expression in terms of costheta and then simplify.

cos^4theta - sin^4theta + sin^2theta

Ans: cos^4 θ - 1 - cos^4 θ + 1 - cos^2 θ

= -cos^2 θ

1 answer

cos^4 Ø - sin^4 Ø + sin^2 Ø
= (cos^2 Ø + sin^2 Ø)(cos^2 Ø - sin^2 Ø) + sin^2 Ø
= (1)(cos^2 Ø - sin^2 Ø) + sin^2 Ø
= cos^2 Ø
Similar Questions
  1. Prove or disprove the following identitysin^4theta - cos^4theta = sin^2theta-cose^2theta
    1. answers icon 1 answer
  2. Find one solution for each equation.1. cos 4theta = sin theta 2. tan 4theta = cot (20^0 + 20) Write the function sin (B + 35^0)
    1. answers icon 1 answer
    1. answers icon 0 answers
    1. answers icon 1 answer
more similar questions