[HELP] Solve Situational Problems Involving Trigonometric Identities

[ukumure]

Hi! I am so confused about the given and what is being asked, I don't know how to solve it. This topic is solving situational problems involving trigonometric identities. Your help would be a big one for me Thank you so much in advance!

 

[Romsek]

terminal side of an angle

 

[ukumure]

terminal side of an angle

Does this mean that the point is in Quadrant IV if I'm not mistaken? Thanks a lot!

 

[Romsek]

Does this mean that the point is in Quadrant IV if I'm not mistaken? Thanks a lot!

Yes.

 

[Harry_the_cat]

Yes it is. The angle theta is measured anticlockwise from the positive x-axis.
For starters, draw a diagram and label theta.
Have you learnt the identities for sin(180-A), sin(180+A), sin(360-A) and same for cos?

 

[ukumure]

Th

Yes.

Thank you!

 

[ukumure]

Yes it is. The angle theta is measured anticlockwise from the positive x-axis.
For starters, draw a diagram and label theta.
Have you learnt the identities for sin(180-A), sin(180+A), sin(360-A) and same for cos?

Unfortunately, no. But, thanks for your help!

 

[Harry_the_cat]

Unfortunately, no. But, thanks for your help!

Ok. Then have you learnt what signs (+ or -) each of the trig functions take in each quadrant?

 

[Steven G]

Draw the corresponding triangle in quadrant IV. Label the two sides. Ask Pythagoras for help computing the hypotenuse. Now armed with the 3 sides of the triangle you answer your question.