If cosx = 1/√10 , then prove that:
sec^2x - tan^2x =1 

Answer:


To find the value of such questions, we need to first we need to understand the Trigonometric identities.

I.e. sec x = 1/ cosx
Sec²x = 1/ cos²x

I.e. tan x = sinx / cosx. Where sinx = √(1- cos²x)
So, tan x = √(1- cos²x)/cosx
Tan²x = (1- cos²x) / cos²x

So, using this Trigonometric Identities, you can find the given values and then solve the question.

See the image above to visualize the answer.

So, with the above-mentioned process, we can solve the given Trigonometric Values question In Trigonometry of Mathematics.

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