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If x = sum(n = 0)^(infty) cos ^(2n) thet...

If x = `sum_(n = 0)^(infty) cos ^(2n) theta, " "y = sum_(n = 0)^(infty) sin^(2n) theta and `
` z = sum_(n = 0)^(infty) cos^(2n) theta sin^(2n)theta, 0 lt theta lt (pi)/(2)`, then show that
xyz = x + y + z
[ Hint : use the formula `1 + x + x^(2) + x^(3)` +...
`=(1)/(1 - x)`, where |x|`lt`1 ]

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PREMIERS PUBLISHERS-TRIGONOMETRY-SOLUTION TO EXERCISE 3.1
  1. Identify the quadrant in which an angle of each given measure lies: ...

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  2. Identify the quadrant in which an angle of each given measure lies: ...

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  3. For each given angle, find a co-terminal angle with measure of theta s...

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  4. For each given angle, find a co-terminal angle with measure of theta s...

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  5. For each given angle, find a co-terminal angle with measure of theta s...

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  6. For each given angle, find a co-terminal angle with measure of theta s...

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  7. For each given angle, find a co-terminal angle with measure of theta s...

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  8. If a cos theta - b sintheta = c, show that a sin theta + b cos theta =...

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  9. If sin theta + cos theta = m, show that cos^(6)theta + sin^(6)theta ...

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  10. If (cos^(4)alpha)/(cos^(2) beta) + (sin^(4)alpha)/(sin^(2)beta) = 1, p...

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  11. If (cos^(4)alpha)/(cos^(2) beta) + (sin^(4)alpha)/(sin^(2)beta) = 1, p...

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  12. If y = (2 sin alpha )/(1 + cos alpha + sin alpha) then, prove that (1 ...

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  13. If x = sum(n = 0)^(infty) cos ^(2n) theta, " "y = sum(n = 0)^(infty)...

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  14. If tan^(2)theta = 1 - k^(2), show that sec theta + tan^(3)theta cosec ...

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  15. If sec theta + "tan" theta = p, obtain the values of sec theta, tan th...

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  16. If sec theta + "tan" theta = p, obtain the values of sec theta, tan th...

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  17. If sec theta + "tan" theta = p, obtain the values of sec theta, tan th...

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  18. If cot theta(1 + sintheta) = 4m and cot theta (1 - sin theta) = 4n, pr...

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  19. If "cosec" theta - sin theta = a^(3) and sec theta - cos theta = b^(3...

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  20. Eliminate theta from the equations a sec theta - c tan theta = b and b...

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