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Find the values of tan (alpha + beta), g...

Find the values of tan `(alpha + beta)`, given that cot `alpha = (1)/(2)`
`alpha in (pi, (3pi)/(2)) and sec beta = - (5)/(3), beta in ((pi)/(2),pi)`.

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The correct Answer is:
`(2)/(11)`
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SURA PUBLICATION-TRIGONOMETRY-EXERCISE 3.4
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  4. Show that tan 75^(@) + cot 75^(@) = 4

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  5. Prove that cos (A + B) cos C - cos (B + C) cos A = sin B sin (C - A)

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  8. Prove that sin ( A + B) sin (A - B) = sin^(2) A - sin^(2)B.

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  9. Prove that cos (A + B) cos (A - B) = cos^(2) A - sin^(2) B = cos^(2) ...

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  12. Show that cos^(2) A + cos^(2)B - 2 cos A cos B cos (A + B) = sin^(2) (...

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  13. If cos (alpha - beta) + cos (beta - gamma) + cos (gamma - alpha) = (-3...

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  15. Show that tan (45^(@) - A) = (1 - tanA)/(1 + tanA)

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  16. Prove that cot (A + B) = (cot A cot B - 1)/(cot A + cot B)

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  17. If tan x =(n)/(n + 1) and tan y = (1)/(2n + 1), find tan (x + y).

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  18. Prove that tan ((pi)/(4) + theta) tan ((3pi)/(4) + theta) = -1

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  19. Find the values of tan (alpha + beta), given that cot alpha = (1)/(2) ...

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