Csc of pi/2
WebAll steps. Final answer. Step 1/2. We know, cscx = 1/sinx or sinx = 1/cscx Therefore, cscx will be undefined for all values where sinx = 0. View the full answer. Step 2/2. WebMay 24, 2015 · Well, csc(x) = 1 sin(x) so basically, I would find sin( π 2) and use it to get: csc( π 2) = 1 sin(π 2) = 1 1 = 1.
Csc of pi/2
Did you know?
WebUsing trigonometric identities, we know, csc (pi/3) = sec (pi/2 - pi/3) = sec pi/6. ⇒ csc (pi/3) = sec (pi/6) ⇒ Value of 5 cosec (pi/3)/9 sec (pi/6) = 5/9 Example 2: Find the value of csc pi/3 if sin pi/3 is 0.8660. Solution: Since, csc pi/3 = 1/sin (pi/3) ⇒ csc pi/3 = 1/0.8660 = 1.1547 Example 3: Simplify: 10 (csc (pi/3)/csc (7pi/3)) Solution: WebAug 14, 2016 · metchelle Csc (pi/2) or the cosecant of (pi/2) can be obtained by using a calculator. In terms of degrees, pi/2 is equivalent to 90 degrees. Cosecant is also the reciprocal of sine. Since sin 90 is equal to 1, obtaining the reciprocal of 1 should yield csc (pi/2). Since the reciprocal is simply equal to 1, then: csc (pi/2) = 1 Advertisement
WebJan 14, 2016 · f ( π 2) = csc( π 2) = 1 insert the values in the tangent line equation: ∴ y −1 = 0(x − π 2) y − 1 = 0 y = 1 Alternatively, without the derivation, if you remember from trigonometric that: y = csc(x) has a local minimum point in x0 = π 2 then you can affirm that the tangent line is y = f (x0) Answer link WebStep 1: reduce the left-hand side of the formula in terms of sine using identity (1) csc (pi/2-x)=1/ (sin (pi/2-x) apply identity (2) to above: csc (pi/2-x) =1/ (sin (pi/2-x) =1/ (sin (pi/2)cos (x)-cos (pi/2)sin (x)) =1/ (1*cos (x)-0*sin (x)) ......... apply (3) …
WebFind csc( 45π) Ans: − 2 Explanation: csc( 45π) = sin( 45π)1 ... How do you find the exact value of csc( 65π) using the half angle formula? csc56π = 2. Explanation: Half-angle formula for sin is : sin(2θ) = ± 21−cosθ, ... Just follow the suggestion of Zack Ni: 3+12 2 = 3+12 2 ⋅ 3−13−1 = 3−12 6−2 2 = 6− 2. ... WebSolve your math problems using our free math solver with step-by-step solutions. Our math solver supports basic math, pre-algebra, algebra, trigonometry, calculus and more.
WebTo find the value of csc π/4 using the unit circle: Rotate ‘r’ anticlockwise to form pi/4 angle with the positive x-axis. The csc of pi/4 equals the reciprocal of the y-coordinate (0.7071) of the point of intersection (0.7071, 0.7071) of unit circle and r. Hence the value of csc pi/4 = 1/y = 1.4142 (approx)
WebRewrite csc(2π) csc ( 2 π) in terms of sines and cosines. 1 sin(2π) 1 sin ( 2 π) Subtract full rotations of 2π 2 π until the angle is greater than or equal to 0 0 and less than 2π 2 π. 1 … chips and oliveschips and more menuWebTrigonometry. Evaluate csc (-pi/2) csc(− π 2) csc ( - π 2) Add full rotations of 2π 2 π until the angle is greater than or equal to 0 0 and less than 2π 2 π. csc( 3π 2) csc ( 3 π 2) … chips and milkshakeWebMar 29, 2024 · Explanation: Using: secx = 1 cosx 1 sinx = cscx cos(x −y) = cosxcosy +sinxsiny Start: cscx = sec( π 2 − x) cscx = 1 cos(π 2 − x) cscx = 1 cos(π 2)cosx + sin(π 2) ⋅ sinx cscx = 1 0 ⋅ cosx +1 ⋅ sinx cscx = 1 sinx cscx = cscx Answer link chips and nuggetsWebThe exact value of csc(π 2) csc ( π 2) is 1 1. 1 1 chips and nachoWeb(sec (pi/12) csc (pi/12))/2 = 1/ (2 × cos (pi/12) sin (pi/12)) = 1/sin (pi/6) = 1/sin (pi/6) = csc pi/6 = 2 ⇒ (sec (pi/12) csc (pi/12))/2 = 2 Example 2: Simplify: 3 (csc (pi/6)/csc (13pi/6)) Solution: We know csc pi/6 = csc 13pi/6 ⇒ 3 csc (pi/6)/csc (13pi/6) = 3 (csc (pi/6)/csc (pi/6)) = 3 (1) = 3 grapevine home health agenciesWebThe value of cosec pi/2 is 1. Cosec pi/2 can also be expressed using the equivalent of the given angle (pi/2) in degrees (90°). We know, using radian to degree conversion, θ in degrees = θ in radians × (180°/ pi) ⇒ pi/2 … chips and onion