Question

tan A + sinA = m tan A - sin A = n then prove that => m² - n²= 4√mn​

Answer 1

(tanA+sinA)^2-(tanA-sinA)^2=4rootmn

(tanA+sinA)+(tanA-sinA)(tanA+sinA)-(tanA-sinA)=4rootmn

(tanA+sinA)(tanA+sinA)=4rootmn

m^2=4rootmn

m^2/4=rootmn

(m/2)^2=rootmn

(m/2)^4= mn

m^4/32=mn

m^4=32mn

(tanA+sinA)^2=32(tanA+sinA)(tanA-sinA)

tanA+sinA=32(tanA-sinA)

Answer 2

Answer:

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