1) (sin2t) (cos5t) + (cos2t) (sin5t)

2) {1/(sec x - 1)} - {1/(sec x +1)} = 2 cot^2 x

1 answer

sin a cos b + cos a sin b = sin (a+b)
so sin (7t)

1/(1/cos x -1) - 1/(cos x +1)

cos x/(1 - cos x) - cos x/(1+cos x)

[cos x(1+cos x) - cos x(1-cos x)]/(1-cos^2 x)

[ cos x + cos^2x - cos x +cos^2 x]/sin^2x

2 cos^2 x/sin^2 x

2 cot^2 x
Similar Questions
  1. Use identities to simplify each expression.1) (sin2t) (cos5t) + (cos2t) (sin5t) 2) {1/(sec x - 1)} - {1/(sec x +1)} = 2 cot^2 x
    1. answers icon 1 answer
  2. Find the exact length of the curve.x = 5cost - cos5t, y = 5sint - sin5t, 0 < t < pi
    1. answers icon 2 answers
    1. answers icon 3 answers
    1. answers icon 2 answers
more similar questions