For the right triangle shown match the equivalent expressions.

Part a)

Part b)

Part c)

Part d)

Step-by-step explanation:

we know that

In the right triangle ABC of the figure

----> by complementary angles

so

Part a) Cos(A)

The value of cosine of angle A is the ratio between the adjacent side angle A to the hypotenuse

Part b) Cos(B)

The value of cosine of angle B is the ratio between the adjacent side angle B to the hypotenuse

Part c) Sin(A)

The value of sine of angle A is the ratio between the opposite side angle A to the hypotenuse

Part d) Sin(B)

The value of sine of angle B is the ratio between the opposite side angle B to the hypotenuse

solution:

the given function is ,

      =

the three roots of this quadratic function is , 0 ,8 and 10.all the roots are real and rational.

if a quadratic equation is of the form ,

sum of the roots = a + b +c= 0+8+10=18=  

product of roots taken two at a time = a b + b c+ c a = 0+80+0=80 =  

product of roots = a b c = 0=  

there are 11 doors in a hall starting from 0 to 11.the entry in the hall is permitted through gate number 0 and exit is allowed through only gate number 8 and 10.so, three roots(0,8,10) of quadratic function is given by entry and exit route of this hall.