If - - - - are in A-P- show that - - sin- - sin-cos- - cos-

We #10;have, #10; #10; α #10;,β ,γ are in A.P. #10; #10;So, #10; #10; 2β #10;=α +γ #160; #160; #160; #160; #160; #160; ...

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Arithmetic Mean

If α , β ,γ...

Question

If $α, β, γ$ are in A.P. show that $cot β = \frac{sin α - sin γ}{cos γ - c o s α} .$

Open in App

Solution

Suggest Corrections

Similar questions

α, β, γ

c o t β = \frac{sin α - sin γ}{cos γ - cos α}

α, β, γ

A . P

cot β = \frac{sin α - sin γ}{cos γ - cos α}

c o s α + c o s β + c o s γ = s i n α + s i n β + s i n γ = 0

c o s (β + γ) + c o s (γ + α) + c o s (α + β) = 0

s i n (β + γ) s i n (γ + α) + s i n (α + β) = 0

If $α$ , $β$ and $γ$ are in A.P., $\frac{sin α - sin γ}{cos γ - cos α}$ equals to

If $cos (α - β) + cos (β - γ) + cos (γ - α) = - \frac{3}{2}$ , Prove
that $cos α + cos β + cos γ = sin α + sin β + sin γ = 0$

Join BYJU'S Learning Program