Question

find value of tan if the sec is 25/7​

Answer 1

Answer:

24/7

Step-by-step explanation:

find value of tan if the sec is 25/7

24/7

Answer 2

Answer:

tan: 24/7

Step-by-step explanation:

sec is the inverse of cos

therefore the cos is 7/25.

cos is adjacent over hypotenuse

so if you mentally draw the image of a right angled triangle in your head, your hypotenuse would be 25 and one of the legs, (I will call it leg a) is 7.

Now we need to find the other leg with Pythagorean theorem.

25^2 - 7^2 = 625 - 49= 576 ; the square root of 576 is 24

there fore the other leg (i will call it leg b) is 24.

Tan is opposite over adjacent

so if we use the same angle as the cos (7/25)

Tan would be (leg a) over (leg b)

=24/7