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

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

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CHHAYA PUBLICATION-TRIGONOMETRIC RATIOS OF COMPOUND ANGLES-Short Answer Type Questions
  1. Prove that, tan 70^(@) = 2tan 50^(@) + tan 20^(@)

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  18. If tan alpha = (x sin beta)/(1-x cos beta) " and " tan beta = (y sin a...

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  19. If tan theta + tan phi = x "and" cot theta + cot phi = y, "prove that ...

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  20. If tan theta = (2x - K)/(K sqrt3) " and " tan varphi = (xsqrt3)/(2 K-x...

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