Question 1002716
The 6 trig functions are sin,cos,tan,csc,sec,and cot. 

To find those we need to convert 1575 degrees into a standard angle that is more friendly to work with. 

1575 x(pi/180 degrees) 

35pi/4 radians 

after counting where that is on the unit circle it lies on the same point as 3pi/4 does

3pi/4 has a slope (tangent) of -1

that means tanx=-1

since tangent is opposite over adjacent and 3pi/4 is in the second quadrant we know that 

opposite=-1 (since cosine in the second quadrant is negative)

and 

adjacent=1 

now we can use the Pythagorean theorem to find the hypotenuse. a^2+b^2=c^2

1^2+-1^2=c^2
1+1=c^2
2=c^2

sqrt2=hyptoneuse

now we can use that to figure out the rest of the function

since cot is the inverse of tan we know that 

cotx=-1 

sine is opposite over hypotenuse so  

sinx=1/sqrt2.... ooo but sqrt in the bottom is claimed to be evil of some sort 

so lets mutpily the top and bottom by sqrt2 since it is a value of 1

sqrt2/2

sinx=sqrt2/2

and csc is the inverse of sine so

cscx=sqrt2 

cosine is adjacent over hypotenuse so 

cosx=-sqrt2/2... already mutiplied by sqrt2/sqrt2 remember because sqrt on bottom is evil....

inverse of cosine is sec

secx=-sqrt2

okay lets review...


secx=-sqrt2, cscx=sqrt2, cosx=-sqrt2/2, sinx=sqrt2/2, cotx=-1, tanx=1

hope that helps! :)