Question

find the values of the indicated trigonometric functions. Find cscθ, given cosθ=0.1063

Answer 1

@robtobey

Answer 2

do you have answers I can choose from?

Answer 3

no sorry

Answer 4

mmm ok I think I know but I don't wanna point you in the wrong direction if im wrong

Answer 5

@Grazes

Answer 6

Do you know your trig identities?

Answer 7

1/0.1063=9.41

Answer 8

not to well no

Answer 9

Well, you know that csc(θ) = 1/sin(θ), right?

Answer 10

yes

Answer 11

Have you learned that sin2 θ + cos2 θ = 1?

Answer 12

no

Answer 13

sin^2(θ) + cos^2(θ) = 1
is the function of the unit circle.
I don't believe there is a simply way to convert cos to csc, but do you know
sin^2(θ) = 1 − cos^2(θ)
OR
cos^2(θ) = 1 − sin^2(θ)

Answer 14

\(\bf csc(\theta) = \cfrac{1}{sin(\theta)}\qquad if \qquad cos(\theta)=sin(90^o-\theta)\qquad thus\\ \quad \\
csc(\theta) = \cfrac{1}{sin(90^o-\theta)}\)

Answer 15

assuming is 0.1063 degrees, as opposed to radians

Answer 16

\(\bf csc(\theta) = \cfrac{1}{sin(\theta)}\qquad if \qquad cos(\theta)=sin\left(\frac{\pi}{2}-\theta\right)\qquad thus\\ \quad \\
csc(\theta) = \cfrac{1}{sin\left(\frac{\pi}{2}-\theta\right)}\)

if it's 0.1063 radians

Answer 17

1^2+0.1063^2
1=+0.1129969=1.01129969=1.0056

Answer 18

1/sin 1.00560=56.97

Answer 19

hhh... smokes... I misread.. again hehe... ahemm is just a value..... dohh

Answer 20

lemme redo that

Answer 21

ok

Answer 22

\(\bf cos(\theta) = 0.1063\qquad \textit{we know that}\quad cos(\theta) = sin\left(\frac{\pi}{2}-\theta\right)\quad thus\\ \quad \\
cos(\theta) = 0.1063\implies sin\left(\frac{\pi}{2}-\theta\right) = 0.1063\\ \quad \\ \quad \\
csc(\theta) = \cfrac{1}{sin(\theta)}\qquad thus \qquad \cfrac{1}{sin\left(\frac{\pi}{2}-\theta\right)} = \cfrac{1}{0.1063}\)

Answer 23

more or less all we did was, grab the equation \(\bf sin\left(\frac{\pi}{2}-\theta\right) = 0.1063\) and raise both sides at -1

Answer 24

which will give the inverse of sine, which is the cosecant, for the same angle

Answer 25

ok sol e me see what i get real quick

Answer 26

0.1061

Answer 27

\(\bf \cfrac{1}{0.1063} \quad ? \)

Answer 28

oops 9.41

Answer 29

yeap

Answer 30

lol i just s aw that

Answer 31

so was doingi t correctly in the first p lace

Answer 32

yes

Answer 33

ok great i just wa s unsure

Answer 34

sorry for the lagg in my computer

Answer 35

tis ok