Table of Contents
What is the relation between sec x and tan x?
tan x = sin x cos x . The cotangent of x is defined to be the cosine of x divided by the sine of x: cot x = cos x sin x . The secant of x is 1 divided by the cosine of x: sec x = 1 cos x , and the cosecant of x is defined to be 1 divided by the sine of x: csc x = 1 sin x . = tan 5π 4 .
What is Secx * TANX?
1cosxsinxcosx=1cosx sinxcosx ⇒1sinx⇒cscx. Therefore, secxtanx=cscx.
What is sin equal to?
Always, always, the sine of an angle is equal to the opposite side divided by the hypotenuse (opp/hyp in the diagram). The cosine is equal to the adjacent side divided by the hypotenuse (adj/hyp).
What is SEC formula?
Therefore, its basic formula is: sec X = \frac{Hypotenuse}{Adjacent Side} Also, it is the reciprocal of the cosine value.
What is tan SEC?
Explanation: tanxsecx. =(tanx)(cosx) =(sinx)(cosx)cosx. =sinx.
What is tan Sin?
Sin is equal to the side opposite the angle that you are conducting the functions on over the hypotenuse which is the longest side in the triangle. Cos is adjacent over hypotenuse. And tan is opposite over adjacent, which means tan is sin/cos.
How to rewrite tan ( x ) to sines and cosines?
Rewrite tan(x) tan ( x) in terms of sines and cosines. Multiply by the reciprocal of the fraction to divide by 1 cos(x) 1 cos ( x). Write cos(x) cos ( x) as a fraction with denominator 1 1. Cancel the common factor of cos(x) cos ( x). Tap for more steps… Cancel the common factor. Rewrite the expression.
How to express a trigonometric function in terms of sin and cos?
Express each trigonometric ratio in terms of sin(x) and cos(x) sm x cos x 1 + cot(x) CSC x cœ(z) sin(z) cos x sm(x 1 (sin(x)) + sm x sm x = sin(x) + cos(x) Due to the symmetry and periodic nature of trigonometric functions, equivalent trigonometric expressions can be
Which is an equivalent expression from symmetry f ( x )?
Equivalent Expressions from Symmetry f(x) = tan(x) Similarly, the function f(x) = tan(x) is an odd function, so tan( —x -3¶/2 tan(x) tan(x) Equivalent Expressions from Symmetry sin(œ The function f(x) = sin(x) is an odd function, symmetric about the origin.