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FAQ (Frequently Asked Questions)

Q1. How Would you Define Trigonometric Identities?

Ans: If an equation is true for all values of the variables involved in the equation, it is called an identity equation. Trigonometric identities are equations that involve trigonometric ratios of an angle which is true for all values of the angle or angles involved in the equation.

Q2. In a Right Angle Triangle ABC Where Angle B is 90 Degrees, how will you Prove that for any of the Acute Angles, say Î¸ in that Triangle: Sin^{2}Î¸ + Cos^{2}Î¸ = 1.

Ans: If B is 90 degrees then the side AC is the hypotenuse of the right-angle triangle. So as per Pythagoras theorem:

AC^{2} = AB^{2} + BC^{2}

If we divide each term in the above equation by AC^{2} we get:

AC^{2}/AC^{2} = AB^{2}/AC^{2} + BC^{2}/AC^{2}

I.e (AC/AC)^{2} = (AB/AC)^{2} + (BC/AC)^{2}

So, 1 = Cos^{2}Î¸Â + Sin^{2}Î¸, where Î¸ is the angle opposite to side BC.