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Cot x = 1/ tanx

Sec x = 1/cos x

Csc x = 1/ sinx

There are few basic angle values that is needed to be remembered, they are 0 degrees, 30 degrees, 45 degrees, 60 degrees and 90 degrees.

We have various trigonometric identities that are required to solve many of the trigonometric equations. We can see many examples of trigonometry in our day to day life.

Following are the few examples which are based on the algebra trigonometry.

= tan (180 + 45) degrees

= tan 45 degrees

= 1

Hence the value of tan 225 degrees is 1.

After expanding, we get

sin^2 x + cos^2 x + 2sinx cos x

= 1 + 2 sinx cosx [ sin^2 x + cos ^2 x = 1]

= 1 + sin 2x [sin 2x = 2 sin x cos x]