Posted by saad on Monday, August 15, 2011 at 12:32am.
cos ( theta ) - tan ( theta) = 0
tan ( theta ) = sin (theta ) / cos( theta )
cos ( theta ) - tan ( theta ) =0
cos ( theta ) = tan ( theta )
cos ( theta ) = sin ( theta ) / cos ( theta )
cos^2 ( theta) = sin ( theta )
Now go on:
wolframalpha dot com
When page be open in rectangle type :
solve cos^2 ( theta) = sin ( theta )
and click =
After few seconds you will see solution.
Then click option Show steps
cosŲ - tanŲ = 0
cosŲ - sinŲ/cosŲ = 0
multiply by cosŲ
cos^2Ų - sinŲ = 0
(1 - sin^2Ų) - sinŲ = 0
sin^2Ų + sinŲ - 1 = 0
sinŲ = (-1 ± √5)/2
sinŲ = .618034 or -1.608 , the last is not possible since sinŲ has to be between -1 and +1
Ų = 38.17° from my calculator (or 141.83°)
All your choices are in radians in multiples of π/2, π/4 or π/6
which would be multiples of 90°, 45° or 30°
None of these match,
btw, my answers satisfies the original equation.
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