Use trigonometric expressions to build an equivalent trigonometric identity with the given expression: sec (x) tan (x) cos (x) csc (x) =

sec (x)

Step-by-step explanation:

sec (x) tan (x) cos (x) csc (x) =

We know sec = 1/ cos

Tan = sin/cos

csc = 1/sin

Replacing into the expression

1/ cos (x) * sin(x)/ cos (x) * cos (x) * 1 / sin(x)

Canceling like terms

1/ cos (x)

sec(x)

Step-by-step explanation:

Step 1:  Simplify all of the trigonometric functions

let soccer = x and golf = y

part a

1st equation: x + y = 125

2nd equation: x = y +45

part b

replace x in the 1st equation with the 2nd one:

y + 45 + y = 125

simplify:

2y + 45 = 125

subtract 45 from each side:

2y = 80

divide both sides by 2:

y = 80/2

y = 40

she plays golf for 40 minutes.

part c

no because she plays soccer for 45 minutes longer than golf 40 +45 =   85 minutes, not 80 minutes.

5/6

step-by-step explanation:

if i remember correctly with perpendicular stuff you just take away the negative