Homework Help: trig

Posted by Emma on Wednesday, December 19, 2012 at 4:55pm.

2sinxcosx+4sin^2xcos^2x=0
solve for x in radians between [0,2pi)

(I mean that it is sine squared x and cosine squared x not sine to the power of 2x or cosine to the power of 2x)

trig - Steve, Wednesday, December 19, 2012 at 5:00pm
factor out sin*cos to get

2sin*cos(1+2sin*cos) = 0
so,
sin=0: x = 0 or π
or
cos=0: x = π/2 or 3π/2
or
1+sin2x = 0
sin2x = -1
2x = 3π/2: x = 3π/4

Answer this Question

Related Questions

Trig - How would I do this problem? Verify that each equation is an identity. ...
math - i am having a minor difficulty i've been stuck for over an hour and ...
Mathematics - I have to show that for any (pi)A, Sin(A)squared + Cos(A)squared...
math - How do i find the area of a triangle? For example: A squared + b squared...
algebra 2 - I am so stuck on this factoring thing. how do you solve: 1)15a(...
Algebra - i need to use the quadratic formula 2 solve these 4 questions: 1. x(...
Maths - solve the equation: 4cos2*theta + 3cos*theta + 3 = 0 for values between ...
algebra 2 multiple choice HELP - find f(a), if f(t) = 2t2(squared)-t-2 A. 2(a+t)...
trig - What does sin(squared)t + cot(squared)tsin(squared)t equal? and can ...
Math11U - A Pythagorean Triple is a set of integers that satisfy the Pythagorean...

For Further Reading

First Name:
School Subject:
Answer: