Question

If secθ-tanθ=X show that secθ=1/2(1/x+x)​

Answer 1

Answer:

Step-by-step explanation:

We realize that sec2 theta=1+tan2theta  

So tan2theta= (x+1/4x)2-1  

On explaining we get tan2theta=(x-1/4x)2  

So tan theta =(x-1/4x) or - (x-1/4x)  

At the point when tan theta =(x-1/4x),  

sec theta +tan theta= x+1/4x+ x-1/4x=2x  

at the point when tan theta =-(x-1/4x)  

sec theta +tan theta= x+1/4x-x+1/4x=1/2x