If 2 sin theta cos theta 7 3 then the value of tan2 theta ndash sec2 theta is ........

Quantitative Aptitude ( CCS) Trignometry

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If 2 sin θ + cos θ = 7/3, then the value of tan²θ – sec²θ is

-1

-2

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Explanation:

This question is a tricky one.
Those who'd start solving it keeping the given equation in mind would just waste their precious time.
Kindly go through the explanation given below:
tan²θ – sec²θ= ?
We know that
1 + sec²θ = tan²θ
⇒ sec²θ – tan²θ = 1
⇒ sec²θ = 1 + tan²θ
So, tan²θ – sec²θ = – 1