Question

Earn a medal!
If sin Θ = 5/6, what are the values of cos Θ and tan Θ?

Answer 1

What is the relationship between \(sin^{2}(\theta)\) and \(cos^{2}(\theta)\) ?

Answer 2

The next image is the question.


First step, you solve "x" in the image.
\[x^{2} + 5^{2} = 6^{2}\]
\[x^{2} + 25 =36\]\[x^{2} = 36- 25 = 11\]
\[x = \pm \sqrt{11}\]

So the answer is
\[\cos \theta = \frac{ \pm \sqrt{11} }{ 6 }\]
\[\tan \theta = \frac{ 5 }{ \pm \sqrt{11} } = \pm \frac{ 5 }{ \sqrt{11} }\]

If you draw the trigonometric function in the question,



Θ>90deg. is a condition of -√11.