Find the exact expressions for sin theta, cos theta, and tan theta. sin theta = (Simplify your answer) cos theta = (Simplify your answer) tan 0 = (Simplify your answer)

The answers to your questions are given below.

Step-by-step explanation:

Data obtained from the question include:

Opposite = b

Adjacent = a

Hypothenus = c

Sin θ =..?

Cos θ =.. ?

Tan θ =..?

A. Determination of Sin θ

Sin θ = Opposite /Hypothenus

Opposite = b

Hypothenus = c

Sin θ = Opposite /Hypothenus

Sin θ = b/c

B. Determination of Cos θ

Cos θ = Adjacent / Hypothenus

Adjacent = a

Hypothenus = c

Cos θ = Adjacent / Hypothenus

Cos θ = a/c

C. Determination of Tan θ.

Tan θ = Opposite/ Adjacent

Opposite = b

Adjacent = a

Tan θ = Opposite/ Adjacent

Tan θ = b/a

D. Simplification of Sin θ = Cos(90 – θ)

Recall:

Cos (A – B) = CosACosB + SinASinB

Cos(90 – θ) = Cos90Cosθ + Sin90Sinθ

Therefore,

Sin θ = Cos(90 – θ)

Sin θ = Cos90Cosθ + Sin90Sinθ

But:

Sin θ = b/c

Cos 90 = 0

Cos θ = a/c

Sin 90 = 1

Sin θ = Cos90Cosθ + Sin90Sinθ

b/c = 0 x a/c + 1 x b/c

b/c = b/c

6.9

step-by-step explanation:

simple math really

6 1/2 times 0.6 = 3.9

but if you are just doing 6 and not 6 1/2 then the answer is 3.6

fabric (square meters)                   cloaks

7                                                           21

4/3                                                         4

step-by-step explanation:

we are told that harry needs 2 square meters of fabric for every 6 wizard cloaks he makes.

1. first of all we will find how many cloaks can be made from 1 square meter of fabric by dividing 6 by 2.

we can see that 3 cloaks can be made from 1 square meter of fabric. now we will multiply 3 by 7 to find number of cloaks made from 7 square meters of fabric.

therefore, harry will make 21 cloaks from 7 square meters of fabric.

2. let us find how many square meters of fabric will be needed to make 4 cloaks.

first of all we will find fabric needed for 1 cloak by dividing 2 by 6.

we can see that fabric needed for 1 cloak is   square meter. now we will multiply   by 4 to find fabric needed for 4 cloaks.