Question

if sectheta + tantheta = 2, find the value of sectheta - tantheta​

Answer 1

Answer:

This can be explained as below. ..

Step-by-step explanation:

As we know that sectheta +tantheta =1/sectheta -tantheta and we are given that sectheta +tantheta = 2 so sectheta -tantheta = 1/2 ans.

Hope it helps...

Answer 2

Answer:

sec@ + tan@ = 2 (Given) --------(1)

sec@ - tan@ = x (Let) ----------(2)

Now we know that ,

sec²@ - tan²@ = 1

and ,

a² - b² = (a+b)(a-b)

using both we get

sec²@ - tan²@ = 1

(sec@ + tan@)(sec@ - tan@) = 1

2 * x = 1

x = 1/2 (Ans)

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