1 25 points Simplify the following expressions a sin tan t c

1 (25 points) Simplify the following expressions (a) sin (tan t) +cos (tan t (b) cos (1)- sin (c) cos (a B) cos (a B) +sin (a +B) sin a (d) sin (2t) cos (2t) (e) sin (30) cos(6) cos (30) si (0) Cos (0) t sin. (0) t tan(0)

Solution

in part a

we can use the identity sin^2x + cos^2x=1

so we can take that tan term as x here

hence answer for part a is 1