Question

In triangle pqr angle P is equals to 90 degree PR + QR is equal to 25 cm and PQ is equal to 7 cm determine the values of sin R cos R tan R


answer is urgent
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right answer please

Answer 1

First you have to solve for QR and PR.  

PR+QR = 25 (given) and PR=25-QR

52 + QR2= PR2 (pythagorean theorem)  

Then substitute PR to get this equation =  52 + QR2 = (25-QR)2

Solve for QR

52 + QR2 = 625 - 50QR +QR2                  .........(QR2 cancels out)

52 = 625 - 50 QR  

-600 = -50 QR  

QR= 12  

Solve for PR using original equation.

PR= 13

Now draw the triangle on your paper for help solving the next step...  

Sin = opposite/ hypotenuse  Sin(P)= 12/13

Cos= Adjacent/ hypotenuse Cos(P) = 5/13

Tan= opposite/ adjacent  Tan(P) = 12/5

Answer 2

p= 90°

PR + QR = 25 cm

PQ=7 cm