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# trig question

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In XYZ, and X = 90° , and cos Z = 7/ 25. Find sin Z and tan Y.

Feb 4, 2022

In right-angled triangle XYZ with X = 90o, X = 25, Z = 7, Y = $${sqrt(25^2-7^2) = sqrt(625 - 49) = sqrt(576) = 24}$$
tan Y = $$7/24$$
cos Z = $${7\over 25}. sinZ = sqrt( 1 - (cos Z)^2) = 24/25.$$