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rox13kh
 2 years ago
sin0 + cos0 = 7/6
what is sin0  cos0 = ?
0 represents theta
rox13kh
 2 years ago
sin0 + cos0 = 7/6 what is sin0  cos0 = ? 0 represents theta

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

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

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

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

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