Question #93d0c
1 Answer
Jan 24, 2018
# secx-tanxsinx-1/secx -= 0#
Explanation:
We cannot solve expressions - we solve equations !
We can manipulate expression, and possibly simplify them:
# secx-tanxsinx-1/secx -= 1/cosx - sinx/cosx sinx - 1/(1/cosx) #
# " " -= 1/cosx - sin^2x/cosx - cosx #
# " " -= 1/cosx - sin^2x/cosx - cos^2x/cosx #
# " " -= (1 - sin^2x - cos^2x)/cosx #
# " " -= (1 - (sin^2x + cos^2x))/cosx #
# " " -= (1 - 1)/cosx #
# " " -= 0 #
Hence, the expression is identically