Question

if sinalpha+sinbeta=a and cosalpha+cosbeta=b find the value of tan(ø/2):tan(∅/2)=1:√2​

Answer 1

Answer:

Step-by-step explanation:

1) sinα + sinβ = 2sin((α+β)/2) cos((α-β)/2)

2) cosα+cosβ = 2cos((α+β)/2)cos((α-β)/2)

Steps:

1) Convert a and b into sum and difference of angles by using above identity.

2)Mulitply a with b.

3) Add Square a with square b.

4)Divide 2) and 3).