is sec x 1 cos

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is sec x 1 cos Sorted by 2 You are right Just by looking at the definition of sec x one can clearly see that sec x 1 cos x But don t just take my word for it Your equation itself

Sec x sec x tan x tan x cot x cot x tan x y tan x tan y 1 tan x tan y sin 2x 2 sin x cos x cos 2x cos 2 x sin 2 x 2 cos 2 x 1 1 2 sin 2 x tan 2x 2 tan x 1 tan 2 x sin 2 Sec Cosec and Cot Secant cosecant and cotangent almost always written as sec cosec and cot are trigonometric functions like sin cos and tan sec x 1 cos x cosec x 1 sin x cot x 1 cos x tan x sin x

is sec x 1 cos

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is sec x 1 cos
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You can see the Pythagorean Thereom relationship clearly if you consider the unit circle where the angle is t the opposite side is sin t y the adjacent side is cos t x and A 2 b 2 c 2 Dividing through by c2 gives a2 c2 b2 c2 c2 c2 This can be simplified to a c 2 b c 2 1 a c is Opposite Hypotenuse which is sin b c is Adjacent

Prove tan 2 x sin 2 x tan 2 x sin 2 x prove cot 2x frac 1 tan 2 x 2 tan x prove csc 2x frac sec x 2 sin x prove frac sin 3x sin 7x cos 3x Answer Hope this helps Explanation The functions sine cosine and tangent of an angle are sometimes referred to as the primary or basic trigonometric functions The remaining trigonometric functions secant

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Here are a few examples I have prepared a Simplify tanx cscx xx secx Apply the quotient identity tantheta sintheta costheta and the reciprocal identities csctheta 1 sintheta and sectheta 1 costheta sinx cosx The secant is the reciprocal of the cosine sec A 1 cos A cotangent The cotangent is the reciprocal of the tangent cot A 1 tan A

Asked May 15 2013 at 23 35 Lince Assassino 273 1 2 6 6 That s the difference between cos 1 x cos 1 x and cos x 1 cos x 1 The former is an inverse for the Cos 2 x sin 2 x 1 sin x cos x tan x You want to simplify an equation down so you can use one of the trig identities to simplify your answer even more some other identities

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is sec x 1 cos - Sin X opp hyp a c csc X hyp opp c a tan X opp adj a b cot X adj opp b a cos X adj hyp b c sec X hyp adj c b Trigonometric Functions of