Question 132

If θ is positive acute angle Find whether the equation 3 $$(\sec^{2}\theta-\tan^{2}\theta)=5$$ is true or not ?

Solution

Given that : 3 $$(\sec^{2}\theta-\tan^{2}\theta)=5$$

we know that 1 + $$tan^2 \theta = sec^2 \theta$$

using the above identity ,

L.H.S :: 3 $$(\sec^{2}\theta-\tan^{2}\theta)$$ = 3 $$(1 + tan^2 \theta - tan^2 \theta)$$ = 3

R.H.S :: 5

As , L.H.S =/= R.H.S the given equation is false

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