Question

How do you simplify a trigonometric expression?

Answer 1

GCG nd divide i think

Answer 2

i meant GCF

Answer 3

well its lik factor it nd order it k

Answer 4

do you have an example?

Answer 5

yes

Answer 6

sin^2x /(1 + cosx) = ?

sin^2x /(1 + cosx) = (1 - cos^2x)/(1 + cosx)
= (1 - cosx) (1 + cosx)/(1 + cosx)

= 1 - cosx

Answer 7

I just need to know in words

Answer 8

its easier if i show you mathematically though

Answer 9

you're a 97 liner too huh

Answer 10

The simplify(expr,trig) calling sequence simplifies trigonometric expressions by applying the trigonometric identities sin(x)^2+cos(x)^2 = 1 and cosh(x)^2-sinh(x)^2 = 1.
•
If the input is a polynomial in sin(x) and cos(x) then simplify/trig factors out powers of sin(x) and cos(x) and apply the identity sin(x)^2+cos(x)^2 = 1 to what is left so that the degree of what is left in sin(x) is at most 1. Thus the result is of the form:
sin(x)^i*cos(x)^j*(A*sin(x)+B)

where A and B are polynomials in cos(x). If the input is a polynomial in sinh(x) and cosh(x) then simplify/trig yields a similar result using the identity cosh(x)^2-sinh(x)^2 = 1.
•
To apply the identity to reduce the polynomial so that the degree in sin(x) is at most 1, use the command
simplify(expr, {sin(x)^2+cos(x)^2-1}, [sin(x)])
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If the input involves multiple angles that are integer multiples of each other, for example, sin(x), sin(2*x), and cos((1/2)*x) then the trigonometric functions are expressed in terms of a common angle, in this case (1/2)*x.
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If the input is a rational expression in sin(x) and cos(x) then an algorithm is used to put it in the form N/D and reduce N and D to lowest terms such that the total degree of the numerator N (in sin(x) and cos(x)) plus the total degree of the denominator is minimized. In particular, any common factor between N and D has been cancelled out.

Answer 11

where did u get that from?

Answer 12

damn...

Answer 13

probably google

Answer 14

lol

Answer 15

but thanks for searching.. i guess!

Answer 16

u a 97 liner jelia?

Answer 17

well obvioulsy no one else was gonna answer and they were wasting your time

Answer 18

@hns109 could you simplify your answer? Im truly a dumba... lol

Answer 19

ouch hns109

Answer 20

lol i couldve did what he did! search online and copy and paste lol

Answer 21

yeah haha

Answer 22

can't wait to be done with math. last year of it lol

Answer 23

let me see if i can win your heart through math

Answer 24

thanks for the help sorta XD ill find something lol

Answer 25

math finals in 2 days