1.prove that sinx.siny.sin(x-y) + siny.sinz.sin(y-z) + sinz.sinx.sin(z-x) + sin(x-y).sin(y-z).sin(z-x) = 0

2.f(α,β)= cos⁴α/cos²β + sin⁴α/sin²β then prove that f(α,β) = 1

^{3.cosA = tanB, cosB = tanC and cosC= tanA}

then show that sinA = sinB = sinC = 2sin18

Question

1.prove that sinx.siny.sin(x-y) + siny.sinz.sin(y-z) + sinz.sinx.sin(z-x) + sin(x-y).sin(y-z).sin(z-x) = 0

2.f(α,β)= cos⁴α/cos²β + sin⁴α/sin²β then prove that f(α,β) = 1

^{3.cosA = tanB, cosB = tanC and cosC= tanA}

then show that sinA = sinB = sinC = 2sin18

Saurabh Koranglekar · Answer

Dear student Please find the link attached https://www.askiitians.com/forums/Trigonometry/23/4416/please-solve.htm Regards

Vikas TU · Answer

Dear student Please ask single question in a thread , It will be easier for us to ans. Good Luck Cheers

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1.prove that sinx.siny.sin(x-y) + siny.sinz.sin(y-z) + sinz.sinx.sin(z-x) + sin(x-y).sin(y-z).sin(z-x) = 0 2.f(α,β)= cos 4 α/cos 2 β + sin 4 α/sin 2 β then prove that f(α,β) = 1 3.cosA = tanB, cosB = tanC and cosC= tanA then show that sinA = sinB = sinC = 2sin18

1.prove that sinx.siny.sin(x-y) + siny.sinz.sin(y-z) + sinz.sinx.sin(z-x) + sin(x-y).sin(y-z).sin(z-x) = 0

2.f(α,β)= cos⁴α/cos²β + sin⁴α/sin²β then prove that f(α,β) = 1

^{3.cosA = tanB, cosB = tanC and cosC= tanA}

then show that sinA = sinB = sinC = 2sin18

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1.prove that sinx.siny.sin(x-y) + siny.sinz.sin(y-z) + sinz.sinx.sin(z-x) + sin(x-y).sin(y-z).sin(z-x) = 0 2.f(α,β)= cos 4 α/cos 2 β + sin 4 α/sin 2 β then prove that f(α,β) = 1 3.cosA = tanB, cosB = tanC and cosC= tanA then show that sinA = sinB = sinC = 2sin18

1.prove that sinx.siny.sin(x-y) + siny.sinz.sin(y-z) + sinz.sinx.sin(z-x) + sin(x-y).sin(y-z).sin(z-x) = 0 2.f(α,β)= cos4α/cos2β + sin4α/sin2β then prove that f(α,β) = 1 3.cosA = tanB, cosB = tanC and cosC= tanA then show that sinA = sinB = sinC = 2sin18

2 Answers

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1.prove that sinx.siny.sin(x-y) + siny.sinz.sin(y-z) + sinz.sinx.sin(z-x) + sin(x-y).sin(y-z).sin(z-x) = 0

2.f(α,β)= cos⁴α/cos²β + sin⁴α/sin²β then prove that f(α,β) = 1

^{3.cosA = tanB, cosB = tanC and cosC= tanA}

then show that sinA = sinB = sinC = 2sin18