WebBy the Pythagorean theorem, the hypotenuse is √5. Thus, sin 𝜃 = 2/√5 and we have: sin (arctan 2) = 2/√5 You can use a similar argument for the second question. You could have also solved this using the Pythagorean trig identities (which are basically condensed versions of the process we used above). 2 comments ( 16 votes) Upvote Flag Webdoes sin^-1=csc? Screwing around in desmos with trig functions and sin -1 gives a different answer than csc. csc is the reciprocal of sin, or 1/sin, and x -1 is 1/x, then shouldnt sin -1 = 1/sin 1, or 1/sin, or the reciprocal of sin, csc? 4 8 8 comments Best Add a Comment mugh_tej • 1 mo. ago

Is CSC the inverse of sin? - Quora

WebThe reciprocal of the sine function is a trigonometric function, called the cosecant function. The reciprocal of sine is the ratio of the hypotenuse and the opposite side of a right … Webprove\:\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 ... gym christophe ruelle

Reciprocal identity of Sin function - Math Doubts

WebSo, the reciprocal of cosecant of angle is equals to sin of angle. Δ Q P R is a right triangle and the angle of this triangle is theta. Write cosecant in its ratio form Express the … WebJul 7, 2024 · What is reciprocal of sin? The cosecant is the reciprocal of the sine. It is the ratio of the hypotenuse to the side opposite a given angle in a right triangle. Is sin 1 the same as CSC? sin − 1 x = sin − 1 (x), sometimes interpreted as (sin(x)) − 1 = 1sin(x) = csc(x) or cosecant of x, the multiplicative inverse (or reciprocal) of the ... Webcsc (θ) = 1/sin (θ) sec (θ) = 1/cos (θ) cot (θ) = 1/tan (θ) And we also have: cot (θ) = cos (θ)/sin (θ) Pythagoras Theorem For the next trigonometric identities we start with Pythagoras' Theorem: Dividing through by c2 gives a2 c2 + b2 c2 = c2 c2 This can be simplified to: ( a c )2 + ( b c )2 = 1 Now, a/c is Opposite / Hypotenuse, which is sin (θ) boys storybots tee shirts