achristman
achristman
03-02-2017
Mathematics
contestada
is this an identity?
1+sec^2x=tan^2x
Respuesta :
arthurpdc
arthurpdc
12-02-2017
No, the correct identity is [tex]\tan^2(x)+1=\sec^2(x)[/tex]. It is obtained by dividing the both sides of the Pythagorean Trigonometric Identity by cos²(x):
[tex]\sin^2(x)+\cos^2(x)=1\\\\ \dfrac{\sin^2(x)+\cos^2(x)}{\cos^2(x)}=\dfrac{1}{\cos^2(x)}\\\\ \dfrac{\sin^2(x)}{\cos^2(x)}+\dfrac{\cos^2(x)}{\cos^2(x)}=\dfrac{1}{\cos^2(x)}\\\\ \boxed{\tan^2(x)+1=\sec^2(x)}~~\blacksquare[/tex]
Answer Link
VER TODAS LAS RESPUESTAS ( 75+ )
Otras preguntas
Isla, Bob and Marie are playing a game involving counters. The total number of counters stays the same throughout the game. At the start of the game, the ratio
Plot A(2,3) and B(2,5). What is the midpoint of points A and B?
A group is selling chocolate-covered pretzels for 6 dollars per container and kettle corn for 8 dollars per container. They want to sell at least $2,800 in item
Consider the polynomial function p(x)=-5x^6-3x^5+4x^2+6xp(x)=−5x 6 −3x 5 +4x 2 +6xp, left parenthesis, x, right parenthesis, equals, minus, 5, x, start su
Select the values that make the inequality m 4 true. Then write an equivalent inequality, in terms of m. (Numbers written in order from least to greatest going
1. The report tomorrow (finish).
(Please Answer Quickly) Find the distance between the point and the plane. (Round your answer to three decimal places.) (4, 2, 1) x − y + 2z = 6
anyyyy girrllll online hereeeere m soo bored
(Please Answer Quickly) Find the distance between the point and the plane. (Round your answer to three decimal places.) (4, 2, 1) x − y + 2z = 6
Isla, Bob and Marie are playing a game involving counters. The total number of counters stays the same throughout the game. At the start of the game, the ratio
