Choose the correct statement
- cosec^2 * x - cot^2 * x = 1
- sec^2 * x + tan^2 * x = 1
- cos^2 * x - sin^2 * x = 1
Explanation from PART66Online
This follows from the Pythagorean identity 1 + cot^2x = cosec^2x, which rearranges to cosec^2x - cot^2x = 1. The correct companion identity is sec^2x - tan^2x = 1 (not a plus sign), and sin^2x + cos^2x = 1 (not cos^2x - sin^2x), so the other statements are false.
G
gav_18s asked · 16 Jul 2014
Can anyone explain this?
Community Comments (1)
S
sauravkatwal
2 Jun 2016
cosec^2*x = 1+ cot^2*x (Trigonometric relation between cosec and cot)
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