Find the sine,cosine and tangent ratios

1)  

sinA=5/13       sinB=12/13

cosA= 12/13   cosB=5/13

tgA=5/12      tgB=12/5

2)

sinA=8/17       sinB=15/17

cosA= 15/17   cosB=8/17

tgA=8/15      tgB=15/8

3)

sinA=7/25       sinB=24/25

cosA= 24/25   cosB=7/25

tgA=7/24      tgB=24/7

4)

sinA=1/2       sinB=√3 /2

cosA= √3 /2   cosB=1/2

tgA=1/√3       tgB=√3  

5)

sinA=1/√2       sinB=1/√2

cosA= 1/√2   cosB=1/√2

tgA=1       tgB=1

The upward force on each supporting plank is 200 N

The given parameters include;

weight of the plank, W₁ = 400 Nlength of the plank, l = 2 mupward force of each supporting plank, = W₂ and W₃

To show that the upward force of each supporting plank is 200 N, make the following sketch.

                 W₂                                                           W₃

                  ↑                                                              ↑                                                              

           

              0.2m                         ↓                               0.2m

                                              400 N

The two supporting planks keeps the 2m plank in equilibrium position. If the plank is in equilibrium position the sum of the upward forces equals sum of the downward force.

W₂  +   W₃ = 400 N

But the distance of each supporting plank from the end is equal, (0.2m).

Then, W₂  =  W₃

2W₂ = 400 N

W₂ = 400N/2

W₂ = 200 N

W₃ = 200 N

Therefore, the upward force on each supporting plank that keeps the plank in equilibrium position is 200 N.

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