L ladyazpy New member Joined Mar 1, 2005 Messages 31 Mar 8, 2006 #1 in the sketh, the size of angle theta is 335 degrees, the Y coordinate is -2 find the radius find the value x coordinate evaluate sin (squared) 335 + cos (squared) 335
in the sketh, the size of angle theta is 335 degrees, the Y coordinate is -2 find the radius find the value x coordinate evaluate sin (squared) 335 + cos (squared) 335
S soroban Elite Member Joined Jan 28, 2005 Messages 5,584 Mar 9, 2006 #2 Hello, ladyazpy! in the sketch (?), the size of angle theta is 335 degrees, the Y coordinate is -2 (a) Find the radius. (b) Find the x-coordinate. (c) Evaluate \(\displaystyle \sin^2(335^o) \,+\,\cos^2(335^o)\) Click to expand... I assume The Sketch looks like this: Code: | | x ----*------------ | \ 25° : | \ :y = -2 | r \ : | * (x,-2) | (a) We have: \(\displaystyle \,\sin25^o\,=\,\frac{2}{r}\;\;\Rightarrow\;\;r\,=\,\frac{2}{\sin25^o}\:\approx\:4.732\) (b) We have: \(\displaystyle \,\tan25^o\,=\,\frac{2}{x}\;\;\Rightarrow\;\;x\,=\,2\cdot\tan25^o\:\approx\:0.933\) (c) A rather silly question, isn't it? \(\displaystyle \;\;\) For any angle \(\displaystyle \theta:\;\sin^2\theta\,+\,\cos^2\theta\:=\:1\)
Hello, ladyazpy! in the sketch (?), the size of angle theta is 335 degrees, the Y coordinate is -2 (a) Find the radius. (b) Find the x-coordinate. (c) Evaluate \(\displaystyle \sin^2(335^o) \,+\,\cos^2(335^o)\) Click to expand... I assume The Sketch looks like this: Code: | | x ----*------------ | \ 25° : | \ :y = -2 | r \ : | * (x,-2) | (a) We have: \(\displaystyle \,\sin25^o\,=\,\frac{2}{r}\;\;\Rightarrow\;\;r\,=\,\frac{2}{\sin25^o}\:\approx\:4.732\) (b) We have: \(\displaystyle \,\tan25^o\,=\,\frac{2}{x}\;\;\Rightarrow\;\;x\,=\,2\cdot\tan25^o\:\approx\:0.933\) (c) A rather silly question, isn't it? \(\displaystyle \;\;\) For any angle \(\displaystyle \theta:\;\sin^2\theta\,+\,\cos^2\theta\:=\:1\)
