4 years ago

If cota=5/12 evaluate 2sina-3cosa/4sina-9cosa

2 answers:

7 0

Cot=cos/son
Cot(a)=cos(a) / sin(a)
Cos(a)=5
Sin(a)=12

2sina-3cosa / 4sina-9cosa
2(12)-3(5) / 4(12)-9(5)
24-15 / 48-45
9/3
3

ivanzaharov [21]4 years ago

7 0

Answer:

Step-by-step explanation:

We have a triangle where opposite side = 12 , adjacent side = 5 and hypotenuse = √(12^2 + 5^2) = 13 (because cot a = adjacent/ opposite side).

So 2sina - 3cosa / 4sina - 9cosa

= (2 * 12/13 - 3 * 5/13) / ( 4 * 12/13 - 9 * 5/13)

= (24/13 - 15/13) / (48/13 - 45/13)

= 9/13 / 3/13

= 9/13 * 13/3

= 3.

You might be interested in

A Venn diagram is shown below: a venn diagram showing two categories, A and B. In the A only circle is 3 and 4, in the B circle

Alenkinab [10]

I would have wished to see Venn Diagram, however I will try to answer this problem:
A={1,2,3,4}

B={1,2,5,6}

(A∩B) ={1,2}

The complement of (A∩B) is (A∩B)'

(A∩B)' = A'∪B' (De Morgan's law)

A' ={5,6} and B'={3,4}

A'∪B' = {5,6} ∪ {3,4}

A'∪B' = (A∩B)' = {3,4,5,6}

4 0

3 years ago

The perimeter of a rectangular book is given as 16.84 cm. Find the length of the rectangular book (in decimals) whose width is 1

Damm [24]

Answer:

5.8 is answer i hope i helped u

Step-by-step explanation:

3 0

3 years ago

How is x = 5 mathematically different from x > 5?

Ivahew [28]

Answer: