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Hyun11Best ResponseYou've already chosen the best response.0
\[2(\pi n+\arctan(\frac{1}{13}(6\sqrt{23})))\]
 9 months ago

CallistoBest ResponseYou've already chosen the best response.5
\[sin\theta + cos\theta = \frac{7}{6}\]\[(sin\theta + cos\theta)^2 = (\frac{7}{6})^2\]\[sin^2\theta + cos^2\theta+2sin\theta cos\theta= \frac{49}{36}\]\[1+2sin\theta cos\theta= \frac{49}{36}\]\[2sin\theta cos\theta= \frac{13}{36}\] \[sin\theta  cos\theta\]\[=\sqrt{(sin\theta  cos\theta)^2}\]\[=\sqrt{(sin^2\theta2sin\theta\cos\theta+\cos^2\theta)}\]You know what \(sin^2\theta + cos^2\theta\) and \(2sin\theta\cos\theta\) are, so you can find the answer.
 9 months ago

CallistoBest ResponseYou've already chosen the best response.5
@Hyun11 Can you explain how you get your answer?
 9 months ago

shubhamsrgBest ResponseYou've already chosen the best response.2
sin0 + cos0 = 7/6 let sin0  cos0 = x square both sides of both eqns and add them, you'll get your answer in the very next step.
 9 months ago

rox13khBest ResponseYou've already chosen the best response.0
how if you are asked \[(\sin \theta)^2  (\cos \theta)^2\] ? @Callisto
 9 months ago

myininayaBest ResponseYou've already chosen the best response.1
Do you know how to solve for sin(theta) and cos(theta) given the two equations above?
 9 months ago

myininayaBest ResponseYou've already chosen the best response.1
a+b=7/6 ab=(callisto basically gave you this answer) Solve the system of linear equations
 9 months ago

myininayaBest ResponseYou've already chosen the best response.1
Plug into a^2b^2 and you got it
 9 months ago

rox13khBest ResponseYou've already chosen the best response.0
thx, that helped a lot @myininaya
 9 months ago
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