Prove Trigonometric Identities
In this video, we will revise the prove of Trigonometric Identities.
We will prove the following Trig Identities
cos^2 A + sin^2 A = 1
1 + tan^2 A = sec^2 A
cot^2 A + 1 = cosec^2A
Hint 💡
Identity :
An equation is called an identity when it is true for all values of the variables involved
Trigonometric Identity :
Similarly, an equation involving trigonometric ratios of an angle is called a trigonometric identity, if it is true for all values of the angle(s) involved
Trigonometric Identities in class 10th NCERT:
cos^2 A + sin^2 A = 1
1 + tan^2 A = sec^2 A
cot^2 A + 1 = cosec^2A
We will prove the above trigonometric identities via a Δ ABC, right-angled at B.
Understand
Above equations hold true for all A such that 0° ≤ A ≤ 90°. So, they are trigonometric identities
Note📝
The above definitions and identities are taken from NCERT book ch-8 Trigonometry
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