Question

if tan theta+sec theta =8then sec theta - tan theta is​

Answer 1

key point :-

1+tansquare theta = secsquare theta

i have used (a+b)square in the first step, sorry i didn't mentioned there.

Answer 2

Answer:

no need to do so many things mentioned in the above given Answer by snehaa. follow my steps below ↓

Step-by-step explanation:

given : tan∅ + sec∅ or sec∅+tan∅ = 8

therefore, we know , sec²∅ - tan²∅ = 1

=> (sec∅+tan∅)(sec∅-tan∅) = 1

=> ( 8 )( sec∅-tan∅ ) = 1

=> sec∅-tan∅ = 1/8

Answer = 1/8

hope it helped .

thanks

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