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rox13kh
Group Title
sin0 + cos0 = 7/6
what is sin0  cos0 = ?
0 represents theta
 one year ago
 one year ago
rox13kh Group Title
sin0 + cos0 = 7/6 what is sin0  cos0 = ? 0 represents theta
 one year ago
 one year ago

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Hyun11 Group TitleBest ResponseYou've already chosen the best response.0
\[2(\pi n+\arctan(\frac{1}{13}(6\sqrt{23})))\]
 one year ago

Hyun11 Group TitleBest ResponseYou've already chosen the best response.0
\[n\in \mathbb{Z}\]
 one year ago

Callisto Group TitleBest 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.
 one year ago

Callisto Group TitleBest ResponseYou've already chosen the best response.5
@Hyun11 Can you explain how you get your answer?
 one year ago

shubhamsrg Group TitleBest 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.
 one year ago

rox13kh Group TitleBest ResponseYou've already chosen the best response.0
how if you are asked \[(\sin \theta)^2  (\cos \theta)^2\] ? @Callisto
 one year ago

myininaya Group TitleBest 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?
 one year ago

myininaya Group TitleBest 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
 one year ago

myininaya Group TitleBest ResponseYou've already chosen the best response.1
Plug into a^2b^2 and you got it
 one year ago

rox13kh Group TitleBest ResponseYou've already chosen the best response.0
thx, that helped a lot @myininaya
 one year ago
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