Question

1+cos2t. ......?....................

Answer 1

1+2cos^2t-1=2cos^2t............

Answer 2

To simplify the expression 1 + cos(2t), we can use the trigonometric identity:

cos(2t) = 1 - 2sin^2(t)

Now, substitute this into the original expression:

1 + cos(2t) = 1 + (1 - 2sin^2(t))

Combine like terms:

1 + cos(2t) = 1 + 1 - 2sin^2(t)

Simplify further:

1 + cos(2t) = 2 - 2sin^2(t)

This is the simplified expression for 1 + cos(2t).