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Whitepunk [10]
2 years ago
7

Given that Cos0=5/13,find a)Tan0,b)Sin0,c)Sec0,d)Co sec0,e)Cot0,​

Mathematics
1 answer:
qwelly [4]2 years ago
3 0

cos θ = Adjacent/ hypotenuse

cosθ= 5/13

a²+b²= c²

a² + 5² = 13²

a² = 13² - 5²

a² = 144

a=√144

a= 12

<u>a</u> is the opposite = 12

<u>b</u> is the Adjacent = 5

<u>c</u> is the hypotenuse = 13

a) tan θ= opposite/Adjacent

tan θ = 12/5

b) sin θ= opposite/ hypotenuse

sinθ= 12/13

C) sec θ= hypotenuse / Adjacent

sec θ= 13/5

d) cscθ= hypotenuse /opposite

cscθ= 13/12

e) cotθ=Adjacent/ opposite

cotθ= 5/12

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Find by means of a vector( quantity) diagram . The resultant of two forces of 7 newton and 3 newton acting at right angle to one
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Answer:

The resultant of two forces of 7N and 3N acting at a right angle to one another is √58 N.

Step-by-step explanation:

Let the magnitude of the force of 7N be denoted as “F₁” on the x-axis and the magnitude of the force of 3N be denoted as “F₂” on the y-axis.

We are given that the two forces make an angle of 90° to one another as shown in the figure attached below.

Also, in the figure, we can see that the resultant force is denoted as “F”.

Now,  

The magnitude of the resultant force can be calculated by using the Pythagoras theorem,  

 

∴ F = √[F₁² + F₂²]

⇒ F = √[7² + 3²]

⇒ F = √[49 + 9]

⇒ F = √[58] N

5 0
3 years ago
Read 2 more answers
to the nearest tenth, what is the length of the hypotenuse of an isosceles right triangle with a leg of 7 square root of 3 inche
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8 0
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Expanded form of 5(2m)³
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Answer:

40m^{3}

Step-by-step explanation:

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