The formula cos 2A = cos2 A − sin which is yet a third form 27 Related Question Answers Found How do you integrate Cos 2x?Question Find all solutions of sec^2xtan^2x=3 in the interval 0,2pi Found 2 solutions by Alan3354, stanbon Answer by Alan3354() ( Show Source )=> `tan x*cot x tan^2x` => `1 tan^2x` => `1 (sin^2x)/(cos^2x)` => `(cos^2x sin^2x)/(cos^2x)` =` `> `1/(cos^2x)` => `sec^2x` This proves that `tan x(cot x tan x) = sec^2 x`
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Sec^2x=1+tan^2x proof
Sec^2x=1+tan^2x proof- Ex 34, 8 Find the general solution of the equation sec2 2x = 1 – tan 2x sec2 2x = 1 – tan 2x 1 tan2 2x = 1 – tan2x tan2 2x tan2x = 1 – 1 tan2 2x tan2x = 0 tan 2x (tan2x 1) = 0 Hence We know that sec2 x = 1 tan2 x So, sec2 2x = 1 tan2 2x tan 2x = 0 tan 2x 1 = 0 tan 2x = –1 We find general solutions for both separately General solution for tan 2x = 0 Let tan x = tan yAnswer by Fermat (136) ( Show Source ) You can put this solution on YOUR website!
4 Tan 2x 2 Sec 2x 1 0 X In 0
cos2x=(1tan^2x)/(1tan^2x) =(1tan^2x)/sec^2x =(1tan^2x)cos^x =cos^xsin^x =cos2x5 tan^2x sec^2x = 1 we can convert this into tan^2x=sec^2x1 if tan^2x1=sec^2x then tan^2x=sec^2x1 so both sides are equal Share this link with a friend Copied! One answer is to say that, properly, the identity is $\sec^2x=1\tan^2x$, where the sides fail to be defined at the same values Share Improve this answer Follow edited Nov 27 '15 at 2246 Joel Reyes Noche $\begingroup$ I don't think the OP really wants a proof of the identity The problem seems to be about making sense of it or
Math Tutor or Teacher amanpreetjaggi, replied 10 years ago amanpreetjaggi Category Math Homework Satisfied Customers740 Verified Hi,Welcome to JustAnswer (1tan^2x)/(1cot^2x) = 1sec^2x Substitutetan x = sinx/cosx and cot x = cosx/sinx in the left hand part of the equation(1tan^2x)/(1cot^2x) = 1 (sinx/cosx)^2/ 1 (cosx/sinx)^2= (cos^x So the equation (i) after substituting becomes tan 2 (x) 1= 1/cos 2 (x) ——– (ii) Now we know that 1/cos 2 (x)= sec 2 (x) So on substitution equation (ii) becomes tan 2 (x) 1= sec 2 (x) On rearranging the terms we get sec 2 x−1=tan 2 x Hence ProvedStudents who viewed this also studied University of Wisconsin, Eau Claire
Yes, sec2−1=tan2x is an identity Prove that the equation Is an identity Sec^4x Tan^4x = Sec^2x Tan^2x Math What is a simplified form of the expression sec^2x1/sin x sec x ?1 tan^2x 1 (sin^2x/cos^2x) (cos^2x sin^2x)/cos^2x (12sin^2x)sec^2x (12sin^2x) (1tan^2x)
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In this video, I go through a trigonometric proof which is1tan^2=sec^2The proof is fairly straight forward with some common knowledge of trigonometric fuTan^2x sec^2x = 1, Answers Answer from burners Hey there ) tan²x sec²x = 1 or 1 tan²x = sec²x sin²x cos²x = 1 Divide the whole by cos²xSec^6xtan^6x = 1 3 (tan^2x) (sec^2x) Lilp22 View Public Profile Find latest posts by Lilp22 neerajtiwari Posts 2, Reputation 1 New Member , 1053 PM Left Hand Side = sec^6 x tan^6 x = (sec²x tan²x) (sec^4 x (tan²x) (sec²x) tan^4 x)
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Prove this trigonometric equation; Proof Recall from the last section, the sine of the sum of two angles sin(α β) = sin α cos β cos α sin β We will use this to obtain the sine of a double angle If we take the left hand side (LHS) sin(α β) and replace β with α, we get sin(α β) = sin(α α) = sin 2α Consider the RHS sin α cos β cos α sin βTanx = t Sec^2 x dx= dt So now it is, 1/ (1t)^2 dt This integral is given by 1/1t and t= tanx So, it is cosx/cosx sinx tanx = t Sec^2 x dx= dt So now it is, 1/ (1t)^2 dt This integral is given by 1/1t and t= tanx So, it is cosx/cosx sinx Integral of the function \frac {\cos ^2 x} {1\tan x}
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1tan^2x=sec^2x Change to sines and cosines then simplify 1tan^2x=1(sin^2x)/cos^2x =(cos^2xsin^2x)/cos^2x but cos^2xsin^2x=1 we have1tan^2x=1/cos^2x=sec^2x Trigonometry Science The correct identities are 1 tan^2x = sec^2x 1 cot^2x = csc^2x sin^2x cos^2x = 1 which correspond to B and D thank you!!!Tanx = t Sec^2 x dx= dt So now it is, 1/ (1t)^2 dt This integral👍 Correct answer to the question Prove that tan^2x sec^2x=1 eeduanswerscomMathematics, 0330 momo842 Which expression is equivalent to sec^2xcot^2x?
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Let me tell you first, you can type roof of sign by pressing (left) Alt 251 ( √ ) and pi sign by prssing (left) Alt 227 ( π ) We have, cot x = √3 or, tan x = 1/√3 = tan (π/6) or, x = nπ ( π/6 ), where n belongs to the set of integers Hence, the general solution is x = nπ (π/6), where n belongs to the set of integersGet stepbystep solutions from expert tutors as fast as 1530 minutes Your first 5 questions are on us!Is SEC 2x 1 tan 2x an identity?
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