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How do you find exact value with out calculator #1-tan^2 10+ csc^2 80#?

1 Answer

Feb 8, 2015

Try this method

#t = 1-tan^2(10^0)+csc^2(80^0)#
# = 1-tan^2(10^0)+csc(90^0-10^0)^2#
#=1-tan^2(10^0)+sec^2(10^0)#
#=1+(1-sin^2(10^0))/cos^2(10^0)#
#=1+1#
#=2#

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