Question 175731
Square root of (5cos(theta)+12sin)theta)squared+(12cos(theta)-5sin(theta))squared=13
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{{{sqrt((5cos(t) + 12sin(t))^2 + (12cos(t) - 5cos(t))^2) = 13}}}
{{{sqrt((25cos^2(t) + 144sin^2(t))^2 + 120sin(t)cos(t) + (144cos^2(t) + 25cos^2(t))^2 - 120sin(t)cos(t)) = 13}}}
{{{sqrt((50cos^2(t) + 288sin^2(t))) = 13}}}
{{{((50cos^2(t) + 288sin^2(t))) = 169}}}
{{{((238sin^2(t))) = 119}}}
{{{((sin^2(t))) = 0.5}}}
sin(theta) = sqrt(2)/2
theta = 45º