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If A,B,C are positive acute angles and t...

If A,B,C are positive acute angles and `tan A =4/7, tanB =1/7, tanC=1/8,"prove that" A+B+C = 45^(@)`

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CHHAYA PUBLICATION-TRIGONOMETRIC RATIOS OF COMPOUND ANGLES-Very Short Answer type Questions
  1. Find the values: sec(-75^(@))

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  2. Prove that, tan 75^(@) - cot 75^(@) = 4 sin 60^(@)

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  3. Prove that, cos alpha + cos(120^(@) + alpha) + cos (120^(@) - alpha)...

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  4. Prove that, tan 35^(@) + tan 10^(@) + tan35^(@) tan 10^(@) = 1

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  5. Prove that, tan 8alpha - tan 5 alpha - tan 3 alpha = tan 8alpha tan ...

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  6. Prove that, tan43^(@) = (cos2^(@) - sin2^(@))/(cos2^(@) + sin2^(@))

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  7. Prove that, tan62^(@) = 2tan 34^(@) + tan28^(@)

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  8. If costheta =4/5,then find the value of cos2theta.

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  9. If A,B,C are positive acute angles and tan A =4/7, tanB =1/7, tanC=1/8...

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  10. Find cos( theta + phi) " where " theta " and " phi " are acute angles ...

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  11. If " "sec theta = 5/4, "cosec" phi = 13/12 " then find the value of " ...

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  12. If tan alpha = 7/5, tan beta=5/7 " then find the values of " tan (alph...

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  13. If sin theta = 3/5, tan phi = 8/15 " and " theta " and " phi " lie in ...

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  14. Prove that, (cos 20^(@) + sin 20^(@))/(cos 20^(@) - sin 20^(@)) = tan ...

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  15. Prove that, "cosec" (theta + phi)=("cosec" theta "cosec" phi)/(cot t...

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  16. Prove that, cos 67^(@)24' cos7^(@)24' + cos82^(@)36' cos22^(@)36' =1...

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  17. Prove that, tan (B - C) + tan (C -A ) + tan (A -B) = tan (B-C) tan (...

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  18. Show that the value of each of the following expressions is independen...

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  19. Show that the value of each of the following expressions is independen...

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  20. If " "cos(alpha - beta) + 1 = 0," show that ", cosalpha + cos beta = 0...

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