trig question (1 Viewer)

[jonhysmitw2]

forgot how to do these kind of questions can someone explain how to find the x values

 

[Average Boreduser]

take the sinx to the lhs and then factorise
using those values, solve for x (considering domain of 0-2pi)

 

[howcanibesmarter]

In case u wanted the full solution:

 

[jonhysmitw2]

In case u wanted the full solution:
View attachment 38795

Can you explain how u find the x values though please

 

[howcanibesmarter]

Can you explain how u find the x values though please

If you don't know exact values, then I'd suggest just plug into ur calculator, then find all the possible solutions in the quadrants (ASTC)

 

[cossine]

Can you explain how u find the x values though please

So there are two things you need to know.

1) the unit circle definition of the trigonometric functions
2) trig ratios for the special triangles

https://www.youtube.com/playlist?list=PL0o_zxa4K1BVkRxCZubMPcCJ5Q5QwZdEM

For 2) I have pasted a link. Refer to video 66, 67.

 

[nsw..wollongong]

Can you explain how u find the x values though please

if u know the graph for sinx, u know that x =0,pi and 2pi touch the x-axis
for cosx = 1/2, u can look at the trig ratios on ur reference sheet to see which sides correspond to which angle (eg, cos = adj/hyp and on the triangle, 1/2 = 60 degrees = pi/3) or just do inverse cos times 1/2 to get the degrees, then divide by 180 to get it in radians

then u look at the unit circle and find the corresponding quadrants for sinx and cosx (which are 1st/2nd and 1st/4th respectively) and insert the angles where it fits in the domain