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

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

Callisto
 one year ago
Best 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.

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

shubhamsrg
 one year ago
Best ResponseYou've already chosen the best response.2sin0 + 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.

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

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

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

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

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