Question

if tan theta = 5/12 find without using tables or calculator, the value of a) cos theta b) sin² ( 90° - theta )

Answer 1

Answer:

cos theta = 12/13

sin^2(90-theta) = 144/169

Step-by-step explanation:

tan Ф =  5/12

By Pythagoras theorem , AC=13

so, cos Ф = 12/13

$sin^{2}$(90-Ф) = $cos^{2}$ Ф

                 = (12/13)^2

                 = 144/169