WebJul 13, 2024 · The general solution of tan 3x = 1 is Get the answers you need, now! Zaheer7559 Zaheer7559 14.07.2024 Math Secondary School answered The general solution of tan 3x = 1 is See answers Advertisement Advertisement Zaki1bd Zaki1bd Answer: 15° or π/12. Step-by-step explanation: tan 3x= 1=tan 45° 3x = 45° x = 15° ... WebA trigonometric equation will also have a general solution expressing all the values which would satisfy the given equation, and it is expressed in a generalized form in terms of ‘n’. The general representation of these equations comprising trigonometric ratios is; E 1 (sin x, cos x, tan x) = E 2 (sin x, cos x, tan x) Where E 1 and E 2 are ...
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WebDec 11, 2024 · Correct option (B) x = nπ, n∈Z. We have tan 3x = tan 5x. So. 5x = nπ + 3x ,n ∈ Z ⇒ x = nπ/2, n ∈Z. If n is odd, then x = nπ/2 gives the extraneous solutions. Thus, the solution of the given equation can not given by x = nπ/2, where n is even say n = 2 m, m∈Z. Hence, the required solution is x = nπ, n ∈ Z. WebJul 13, 2024 · Step-by-step explanation: Answer: 15° or π/12. Step-by-step explanation: tan 3x= 1=tan 45°. 3x = 45°. x = 15°. hope you get the answer. By Ranjay ( ADARSH … fbbghg
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WebHence, the general solution for sin x = 0 will be, x = nπ, where n∈I. Similarly, general solution for cos x = 0 will be x = (2n+1)π/2, n∈I, as cos x has a value equal to 0 at π/2, … WebJun 25, 2024 · 2 a tan x ( sec 2 x − 1) = 2 tan 3 x. 2 a tan x ( tan 2 x) = 2 tan 3 x. Thus, a = 1. Now write the solution as: y = y h + y p = c 1 e 2 x + c 2 e − 2 x + tan x. I assumed you knew how to find y h, but if not, give a yell. Note: there are other approaches we can use to not guess, but maybe you haven't learned those yet (Variation of ... WebMar 20, 2024 · ∴ the general solution is. x = nπ/3 or mπ, where m, n ∈ Z. (iii) tan 3x + tan x = 2 tan 2x. Now let us simplify, tan 3x + tan x = 2 tan 2x. ... (1 + tan 3x tan 2x) = tan (2x – x) (1 + tan x tan 2x) tan x [1 + tan 3x tan 2x – 1 – tan 2x tan x] = 0. tan x tan 2x (tan 3x – tan x) = 0. Therefore, tan x = 0 or tan 2x = 0 or (tan 3x ... fbb germany