Terms in this set (6)
sin. 1/csc.cos. 1/sec.tan. 1/cot.cot. 1/tan.sec. 1/cos.csc. 1/sin.
What are the 3 reciprocal identities?
Their names are cosecant, secant and cotangent. Cosecant is the reciprocal identity of sine, secant that of cosine and cotangent that of tangent.
How do you find the reciprocal identity?
The reciprocal identities are: csc(x) = 1/sin(x), sec(x) = 1/cos(x), and cot(x) = 1/tan(x).
What is a reciprocal of 10?
The reciprocal of 10 is 110 or 0.1.
What are the 3 Pythagorean identities?
The Pythagorean identities are derived from the Pythagorean theorem, and describe the relationship between sine and cosine on the unit circle. The three identities are cos2t+sin2t=1 t + sin 2 , 1+tan2t=sec2t 1 + tan 2 t = sec 2 , and 1+cot2t=csc2t 1 + cot 2 t = csc 2 .
How many reciprocal identities are there?
The formulas of the six main reciprocal identities are: sin x = 1/cosec x. cos x = 1/sec x. tan x = 1/cot x.
What is the reciprocal of 1 sin θ?
The reciprocal sine function is cosecant, csc(theta)=1/sin(theta).
What is the reciprocal of sine, cosine and tangent?
The table below summarizes these relationships. The cosecant is the reciprocal of the sine. The secant is the reciprocal of the cosine. The cotangent is the reciprocal of the tangent.
What is cos and sin?
Sine and cosine — a.k.a., sin(θ) and cos(θ) — are functions revealing the shape of a right triangle. Looking out from a vertex with angle θ, sin(θ) is the ratio of the opposite side to the hypotenuse , while cos(θ) is the ratio of the adjacent side to the hypotenuse .
What is the reciprocal of 3/5 as a fraction?
Explanation: To find the reciprocal of a fraction, interchange the numerator and denominator. Hence, reciprocal of 3/5 is 5/3.
What is the reciprocal of 5 11 as a fraction?
the reciprocal of 5/11 is 11/5..
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What are all the trigonometric identities?
Complementary and Supplementary Trigonometric Identities
sin (90°- θ) = cos θcos (90°- θ) = sin θcosec (90°- θ) = sec θsec (90°- θ) = cosec θtan (90°- θ) = cot θcot (90°- θ) = tan θ
How do you find other Pythagorean identities?
To derive these two Pythagorean identities, divide the original Pythagorean identity by sin2x and cos2x respectively. To derive the Pythagorean identity 1+cot2x=csc2x divide through by sin2x and simplify. Similarly, to derive the Pythagorean identity tan2x+1=sec2x, divide through by cos2x and simplify.
What are the 3 trigonometric functions?
The three basic trigonometry functions are Sine, Cosine and Tangent.
