#Can someone help me with these 2 questions (trig ratios)

44 messages · Page 1 of 1 (latest)

brittle iceBOT
hollow parcel
#

For number 2

#

Remember that csc = 1/cos

#

Wel if you know csc = 1/cos

#

Then you could say 1/cos = -2root3/3

#

Now solve for cos

#

Remember that cot csc and sec are all reciprocals of tan sin and sec

#

Wait wait

#

Mb

#

Csc is 1/sin

#

Not 1/cos

woven scroll
#

csc stands for cosecant ryt?

#

then its 1/sin

hollow parcel
#

Yes

woven scroll
#

and you just use the identity, cos^2+sin^2=1

#

you will get sine value from the given cosecant relation

woven scroll
#

so you will get the cos^2 value

#

you will then apply sqroot to find the value of cosine....

#

got it?

#

hmm

hollow parcel
#

It also says that tanx is less than 0

woven scroll
#

yes, that helps us to eliminate one of the cosine values we get by applying sqroot

#

bruh... you get two values for cosine

#

in which one of the cosine value contradicts the case where tanx<0. so you eliminate that value

#

and will result in one solid answert

#

got it?

#

why? what is stopping you?

#

where do you find the difficulty?

#

ok

#

start by finding the sine value from the given cosecant value

#

wait

#

dm me

hollow parcel
#

You don’t need to do all that

#

You can just write out a right triangle with an angle theta

#

Rewrite sin

#

Which is just the numerator and denominator of csc flipped

#

Which will give you -root3 /2

#

Now you know the hypotenuse of the triangle is 2

#

And the side opposite Theta is -root3

#

Given you know the Pythagorean theorem

#

You should be able to find out the 3rd side of the right triangle

#

Ultimately giving you the cos value

woven scroll
#

solved bro, thatnks for your help