Prove or disprove the identity. If you find the identity is true, state the first line of the proof. If you find the identity is false, write the correct equation by replacing the right side. (1-secx)(1+secx)=tan^2x

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Recall the Pythagorean identity:

tan² x + 1 = sec² x

We are given:

(1 - sec x)(1 + sec x) = tan² x

Multiply using a difference of squares:

1 - sec² x = tan² x

Looking at the equation, we can see that it is not equal to the Pythagorean identity.

We can rearrange the original identity to find what (1 - sec² x) is equivalent to:

tan² x + 1 = sec² x

Move sec² x to the left hand side:

tan² x + 1 - sec² x = 0

Move tan² x to the right hand side:

1 - sec² x = -tan² x

Therefore, the identity is FALSE because (1 - sec x)(1 + sec x) = -tan² x.

complete the steps to find the area of the trapezoid.

area of rectangle = 256   square units

area of triangle 1 = 24  square units

area of triangle 2 = 16  square units

area of triangle 3 =   96 square units

area of trapezoid = 120  square units

step-by-step explanation:

the red lines denote the population of the bacteria after 35 hours. that would be 2,409.24. the y-intercept is the blue line which is 800 because that is the starting point. the equation used to make the graph is 800(1.032)^h, where h is the number of hours.

step-by-step explanation: