8 June, 04:11
Match the right side of the equation to the left side
cot x sec^4 x=cot x + 2 tan x+tan^3 x
8 June, 05:59
cot x + 2 tan x + tan³ x
Write in terms of sine and cosine:
(cos x / sin x) + 2 (sin x / cos x) + (sin³ x / cos³ x)
Find the common denominator:
(cos⁴ x / (sin x cos³ x) + 2 (sin² x cos² x / (sin x cos³ x)) + (sin⁴ x / (sin x cos³ x))
(cos⁴ x + 2 sin² x cos² x + sin⁴ x) / (sin x cos³ x)
(sin² x + cos² x) ² / (sin x cos³ x)
1 / (sin x cos³ x)
Multiply top and bottom by cos x:
cos x / (sin x cos⁴ x)
cot x sec⁴ x
Know the Answer?
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» Match the right side of the equation to the left side cot x sec^4 x=cot x + 2 tan x+tan^3 x