SOLUTION: Verify that each equation is an identity.
{{{cos(alpha-beta)/cos(alpha)sin(beta)}}} = tan(alpha)+cot(beta)
Algebra.Com
Question 675437: Verify that each equation is an identity.
= tan(alpha)+cot(beta)
Answer by jsmallt9(3758) (Show Source): You can put this solution on YOUR website!
Since the arguments on the right side are just and , I'm going to use the cos(A-B) formula on the numerator of the left side so that all the arguments are or :
Since the right side has two terms I'm going to split the fraction on the left into two terms:
Each of the new fractions will reduce:
The first fraction is cot and the second is tan:
Since addition is commutative we can change the order:
RELATED QUESTIONS
Verify that each equation is an identity.... (answered by jsmallt9)
Establish the identity
sin (alpha + beta)/(cos alpha cos beta) = tan alpha + tan... (answered by Edwin McCravy)
Verify the identity
Tan (alpha sign)+ cot( beta)= tan(beta)+cot(alpha)/tan(beta) cot... (answered by math_tutor2020)
cos alpha= 1/2and tan beta=1/3.find sin(alpha+beta),where alpha and beta are both acute... (answered by Theo,harpazo)
Prove: sec(alpha + beta)=... (answered by lynnlo)
Given that sin^2 beta = sin alpha cos alpha, show that cos 2 Beta = 2 cos^2[π/4 +... (answered by solver91311)
find exact value of a) sin(alpha+beta); b) cos(alpha+beta); c) tan(alpha-beta) given that (answered by stanbon)
Information given: sin alpha=5/6, 90 (answered by lwsshak3)
Verify 1/ (tan alpha + cot alpha)= sin alpha cos... (answered by lwsshak3)