Question #7c973

1 Answer

Mar 1, 2017

#sin^2 t + 2#

Explanation:

#f(t) = 3sin^3 t.csc t + 2cos (-t).cos t#
Because #csc t= 1/(sin t)# and #cos (-t) = cos t#, then:
#f(t) = 3 sin^3 t(1/(sin t)) + 2cos^2 t = 3sin^2 t + 2cos ^2 t =#
#f(t) = sin^2 t + 2(sin^2 t + cos^2 t) = sin^2 t + 2#

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Question #7c973

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