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Prove that, sin^(2) alpha + sin^(2) (1...

Prove that,
`sin^(2) alpha + sin^(2) (120^(@) - alpha) + sin^(2) (120^(@) + alpha) = 3/2`

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CHHAYA PUBLICATION-TRIGONOMETRIC RATIOS OF COMPOUND ANGLES-Short Answer Type Questions
  1. Prove that, sin^(2) alpha + sin^(2) (120^(@) - alpha) + sin^(2) (120...

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  2. Prove that, sin^(2) (pi/8 + theta/2) - sin^(2)(pi/8 - theta/2) = 1/s...

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  3. Prove that, cos^(2) A + cos^(2) (A + pi/3) + cos^(2) (A - pi/3) = 3/...

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  4. Prove that, tan 70^(@) = 2tan 50^(@) + tan 20^(@)

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  5. Simplify: cosA sin(B - C) + cos B sin (C - A) + cosC sin(A -B)

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  6. Simplify: 1 + (sin(A - B))/(cos A cosB) + (sin (B - C))/(cos B cos C...

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  7. Simplify: tan(pi/4 + theta) tan ((3pi)/4 + theta)

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  8. Simplify: sin (B + C) sin (B - C) + sin (C + A) sin (C - A) + sin(A ...

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  9. Find the expansion: sin (A - B + C)

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  10. Find the expansion: tan (A + B - C)

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  11. If sin alpha sin beta - cos alpha cos beta + 1 = 0,"show that", sin (a...

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  12. If A + B = 45^(@), "show that",(1 + tan A) (1 + tan B) = 2 , "hence fi...

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  13. If A + B + C = pi " and " cos A = cos B cos C, "show that" tan A = t...

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  14. If A + B + C = pi " and " cos A = cos B cos C, "show that" 2 cot B c...

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  15. An angle theta is divided into two parts alpha " and " beta such that ...

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  16. If tan theta = (Q sin alpha)/(P + Q cos alpha), "prove that", tan (alp...

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  17. If sin (alpha + beta) = n sin (alpha - beta) " and " n ne -1," prove t...

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  18. If cot alpha cot beta = 3,"show that", (cos (alpha - beta))/(cos (alph...

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  19. Find the value of (sin (alpha + beta))/(sin (alpha - beta)), "given th...

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  20. If 0^(@) < theta < 90^(@) "and" cos theta + sin theta = sqrt2,"find th...

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