Ask your own question, for FREE!
Mathematics 21 Online
OpenStudy (anonymous):

• How does the value of sinA change as angle a increases and decreases?

OpenStudy (austinl):

I'm sorry, the question is unclear. As A increases and decreases?

OpenStudy (anonymous):

fixed lol sorry

OpenStudy (anonymous):

It increases as the angle increases and decreases as the angle decreases

OpenStudy (anonymous):

thankyou

OpenStudy (anonymous):

My pleasure :)

OpenStudy (anonymous):

llol

OpenStudy (anonymous):

Need anything else?

OpenStudy (anonymous):

hmmm

OpenStudy (austinl):

When in doubt, plug in values from your unit circle. sin(0)=0 sin(pi/6)=11/2 sin(pi/4)=sqrt(2)/2 and so on, as it increases, it gets larger

OpenStudy (austinl):

sin(pi/6)=1/2*

OpenStudy (anonymous):

• How does the value of cosA change as angle a increases and decreases?

OpenStudy (austinl):

Do the same, cos(0)=? cos(pi/6)=? cos(pi/4)=? View the pattern and see :D

OpenStudy (anonymous):

no lol sowwy

OpenStudy (austinl):

Ok lol, cos(0)=1 cos(pi/6)=sqrt(3)/2 cos(pi/4)=sqrt(2)/2 cos(pi/3)=1/2 Can you see a pattern?

OpenStudy (anonymous):

still no v~v

OpenStudy (anonymous):

sqrt(3)/2 > sqrt(2)/2 > 1/2 ; Cos A decreases as A increases and vice versa

OpenStudy (austinl):

\[\frac{\sqrt{3}}{2}=0.866025\] \[\frac{\sqrt{2}}{2}=0.707107\] It gets smaller and smaller.

OpenStudy (anonymous):

who is right v~v

OpenStudy (austinl):

We both said the same thing lol. cos(A) decreases as A increases.

OpenStudy (anonymous):

oh lol okayz :)

OpenStudy (anonymous):

• What happens to the value of tanA as you increase angle A ?

OpenStudy (austinl):

Again we would use the same method. tan(0)=0 tan(pi/6)=sqrt(3)/3 tan(pi/4)=1 tan(pi/3)=sqrt(3)

OpenStudy (anonymous):

still dont understand it lolz

OpenStudy (anonymous):

And sqrt(3)/3<1<sqrt(3), from which we can deduce that Tan A increases as a increases and vice versa

OpenStudy (anonymous):

As 0<pi/6<pi/4<pi/3 and sqrt(3)/3<1<sqrt(3), tan A increases as A increases and vice versa

OpenStudy (anonymous):

they both increase???

OpenStudy (austinl):

Perhaps this would help you visualize?

OpenStudy (anonymous):

Think of it as "0<pi/6<pi/4<pi/3" being the different values of A and sqrt(3)/3<1<sqrt(3) being the corresponding values of tan A

OpenStudy (anonymous):

so they both are rising

OpenStudy (anonymous):

Yes, as the other one rises

OpenStudy (anonymous):

If one would decrease, so would the other

OpenStudy (anonymous):

:D • How do the reciprocal values change compared to the other functions?

OpenStudy (anonymous):

Simply put, as they're the reciprocals of the other ratios, they just wortk the opposite way :)

OpenStudy (anonymous):

csc is the reciprocal of sin, sec is the reciprocal of cos, and cot is the reciprocal of tangent

OpenStudy (anonymous):

lol okay :)

OpenStudy (anonymous):

• Which values are always less than 1

OpenStudy (anonymous):

What do you mean?

OpenStudy (anonymous):

thts all it says

OpenStudy (anonymous):

hmm

OpenStudy (anonymous):

That's kinda weird

OpenStudy (anonymous):

I agree, it's a bit unclear

Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!
Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!