Trig Functions

Question 1

How to draw recpeiocal functions

Answer 1

Draw normal function
- now see the reciprocal of where sin x =1 is 1, so that’s still a point
- reciprocal of 0 is infinity so that becomes assymtopes
- where it’s small it becomes big, where big small

Cos sin similar u shapes, tan komda reflection

Question 2

Inverse functions?
What to do first

Answer 2

To even have an inverse function, as normal trig have many to one, restrict domain for normal,trig to give one to one, then we reflex in y = x like all inverse functions do

Remember it’s radians, 1/2 pi is like 1.5 +

Question 3

Finding arcsin x = 0.5 compared to sinx

Answer 3

Different things, ar sinx only returns the PRINCIPLE FLAUE which is what calculator does, sin x cna have infinite repsokses

Question 4

Two new trig identies? How to derrive ?

Answer 4

Pderrige from sin2 + xos2 and dive through sin2 or cos2 appropriately

Question 5

Remember if it says ti rund an angle ant itsOBTUSE, how to do

Answer 5

Find ti normally, remember that obtuse angles are SECOND quadrant , so they will be NEGATIVE , as obtuse is 90 to 180

From my understanding if obtuse or reflex it’s gonna be negative if what you have

Question 6

2mways to solve those angle questions?

Answer 6

Draw a triangle?
Use an identify is moremsafe