Question

if x= 2 sec^2 theta and y= 2tan^2 theta-1 then find x-y​

Answer 1

Answer:

Step-by-step explanation:

x = $2sec^{2}theta$

y = $2tan^{2}theta - 1$

to find: x - y

substitute values,

=> $2sec^{2}theta - 2tan^{2}theta + 1$

=> $2(sec^{2}theta - tan^{2}theta) + 1$

[We know 1 + tan^2theta = sec^2theta]

therefore, sec^2theta - tan^2theta = 1

therefore,

=> 2(1) + 1

=> 2 + 1

=> 3

hope this helps you

Answer 2

Step-by-step explanation:

given data

x= 2 sec²theta

y = 2 tan²theta -1

to find

x-y value

calculation

x-y = 2sec² theta - 2 tan² theata -1

= 2( sec² theta - tan ² theta) -1 ( according the formula sec²theata - tan² theata = 1)

= 2×1+1

= 2+1=3

the value of x-y is 3

I HOPE IT HELP YOU