Making #u = cos x# #v=sin x# #u^2+v^2 = 1# now with #f (u,v) = (v - u + sqrt [2])/ (v + u + 2)# the minima/maxima problem can be stated as #min//max f (u,v ...

2 Answers Nghi N May 31, 2017 Develop the left side: #LS = (1 + sin x/ (cos x))/ (1 - sin x/ (cos x)] = # #= (cos x + sin x)/ (cos x - sin x)# Multiply both numerator and denominator by (cos x - sin …

Solve: 1. sin x = 0.5623 2. cos x = 0.8963 3. tan x = -2.89 1. Calculator gives --> sin x = 0.5623 --> x = 34.22 and x = 180 - 34.22 = 145.78 deg. Extended answers: x = 34.22 + k360 deg x = …

Dec 14, 2015 · int csc (x)dx = lnabs (csc (x) - cot (x)) + C As is often with integrals, there are a couple of different ways to solve this.

Refer to the explanation below. Before proceeding to proving the identity you should know the following formulas:- 1. sin^2x+cos^2x=1 2. sinx=2sin (x/2)*cos (x/2) Now ...

x = +- pi/3 + 2kpi (sin x/ (cos x)) (1/ (sin x)) = 2 2cos x = 1 cos x = 1/2 Trig table and unit circle give --> cos x = 1/2 --> x = +- pi/3 + 2kpi

1 Answer Shwetank Mauria Mar 20, 2018 # (sin² (-x)-sin (-x))/ (1-sin (-x))=sinx#

How do you find #int sec^2x/ (1-sin^2x) dx #? Vectors question? Why sometimes in the trigonometric equations in the answers we add 2nPi and other times only nPi? How do you …

tan (x/2 + pi/4) = sec x + tan x Use the trig identity: tan (a + b) = (tan a + tan b)/ (1 - tan a.tan b) Call t = (x/2) and develop the left side LS = tan (t + pi/4) = (tan t + tan (pi/4))/ (1 - tan t.tan …

Now we use the sine and cosine sum of multiple angle identities: