ProVe that(since))r'sincor?sinco)

Given : ∇2=∂2∂x2+∂2∂y2+∂2∂z2 To Prove : ∇2=1r2∂∂rr2∂∂r+1r2sinθ∂∂θsinθ∂∂θ+1r2 sin2θ∂2∂ϕ2

Answered: Prove that ²-1 (²) (0) (sin (+,-) + do…

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter6: The Trigonometric Functions

Section6.1: Angles

Problem 27E

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Since PN¯¯¯¯¯¯¯¯ bisects MO¯¯¯¯¯¯¯¯¯, that means that PN¯¯¯¯¯¯¯¯ ≅PN¯¯¯¯¯¯¯¯ because of the definition of a triangle.Because PN¯¯¯¯¯¯¯¯⊥ MO¯¯¯¯¯¯¯¯¯ that means that ∠ONP and ∠MNPare both right angles because of the the definition of perpendicular. This means that ∠ONP ≅ ∠MNP because all right angles are congruent. Also, by the Reflexive Property of Congruence, Response area.Based on these three pairs of congruent corresponding parts, △ONP ≅ △MNP, based on the
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Prove that ²-1 (²) (0) (sin (+,-) + do r² sin(0)