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(iv) If cos theta = k, 0 lt k lt 1 and '...

(iv) If `cos theta = k, 0 lt k lt 1` and `'theta'` is not an angle in the first quadrant then find the values of the other trigonometric ratios in terms of k.

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The correct Answer is:
`sin theta = -sqrt(1-k^(2)), Tan theta= (-sqrt(1-k^(2)))/(k)`,
`Sec theta = K, Cot theta = (-k)/(sqrt(1-k^(2))), Cosec theta= (-1)/(sqrt(1-k^(2)))`
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AAKASH SERIES-TRIGONOMERTIC RATIOS-EXERCISE - 1.1 (VERY SHORT ANSWER QUESTIONS)
  1. Find the value of sin ( - 405^(@))

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  2. Find the value of cos ( - (7pi)/(2))

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  3. Find the value of sec(2100^@)

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  4. Find the value of cot(-315^(@))

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  5. Find the value of sin 330^(@) .cos 120^(@) + cos 210^(@) . Sin 300^(@)...

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  6. Prove that sin 780^(@) sin 480^(@)+cos240^(@). Cos300^(@) = 1/2

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  7. IF sin theta=4/5 and theta is not in the first quadrant, find the valu...

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  8. IF sintheta=-1/3 and theta does not lie in the 3^(rd) quadrant, find t...

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  9. (iii) If 3 sin alpha + 5 cos alpha = 5 then show that 5 sin alpha - 3 ...

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  10. (iv) If cos theta = k, 0 lt k lt 1 and 'theta' is not an angle in the ...

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  11. If tan^(2)theta = (1-e^2) show that sec theta + tan^(3). "cosec" theta...

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  12. If 8 tan A = -15 and 25 sin B = -7 and neither A nor B is in the four...

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  13. If alpha , beta are complementry angles such that bsin alpha = a, the ...

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  14. If cos A = cos B = -1/2 and A does not lie in the second quadrant and ...

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  15. If ABCD is a cyclic quadrilateral then show that i) cos A + cos B ...

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  16. Prove that (tan theta + cot theta)^(2) = "sec"^(2) theta + "cosec"^(2)...

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  17. S.Tcot.(pi)/(16).cot.(2pi)/(16).cot.(3pi)/(16).....cot.(7pi)/(16)=1

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  18. If sin alpha + "cosec" alpha = 2, find value of sin^(n) alpha + "cosec...

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  19. Find the value of sin^(2)""(pi)/(10)+sin^(2)""(4pi)/(10)+sin^(2)""(6pi...

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  20. Prove that (tan theta + cot theta)^(2) = "sec"^(2) theta + "cosec"^(2)...

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