How do you verify #(sec(x) - 1)/(1 - cos(x))=sec(x)#? - Socratic
2015年11月9日 · Verify: (sec - 1)/(1 - cos) = sec ((1/cos x) - 1)/(1 - cos x) = ((1 - cos x)/cos x)/(1 - cos x) = = (1 - cos x)/(cos x)(1/(1 - cos x)) = 1/cos x = sec x
Proving Identities - Trigonometry - Socratic
The best videos and questions to learn about Proving Identities. Get smarter on Socratic.
How do I solve #(1+cosx)/(1+secx)#? - Socratic
2015年4月15日 · f(x) = (1 + cos x)/(1 + sec x) Denominator: 1 + 1/cos x = (cos x + 1)/cos x f(x) = [(1 + cos x)*cos x]/(1 + cos x) = cos x
How do you simplify 1/secx? - Socratic
2017年1月26日 · see below Use the identity: sec x=1/cos x 1/secx=1/(1/cosx)=1*cosx/1=cos x
What does sec x equal in terms of sin, cos, and/or tan?
2015年9月15日 · sec alpha=1/cos alpha This comes straight from the definition. Secans is defined as inverse of cosine.
How do you simplify (sec^2x-1)/ sec^2x? - Socratic
2015年11月2日 · Simplify (sec^2 - 1)/sec^2 Ans: sin^2 x Replace sec^2 = 1/(cos^2 x into the expression , we get: (1/(cos^2 x - 1))/(1/(cos^2 x)) = ((1 - cos^2 x)/cos^2 x)((cos^2 x)/1 ...
Prove that sec^2x(1-cos^2x)=tan^2x? - Socratic
2016年11月24日 · Please see below. sec^2x(1-cos^2x) = sec^2x-sec^2x xx cos^2x = sec^2x-1/cos^2x xx cos^2x = 1+tan^2x-1/cancel(cos^2x) xx cancel(cos^2x) = 1+tan^2x-1 = tan^2x
Is it true that cos^(-1) x = 1/cos x ? + Example - Socratic
2016年8月16日 · False due to a clash of conventions. If n > 1 is a positive integer, then: cos^n x = (cos x)^n This is a convenience of notation, to avoid having to use parentheses to distinguish, …
How do you evaluate #sec^-1(2)#? - Socratic
2016年8月13日 · sec^{-1}(2) = pi/3 Let the answer be x. Since sec^{-1}(2) = x, sec(x) = 2. As secant is the reciprocal of the cosine function, i.e. sec(x) = 1/cos(x), the following must be true …
Fundamental Identities - Trigonometry - Socratic
"The fundamental trigonometric identities" are the basic identities: •The reciprocal identities •The pythagorean identities