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Express (cos theta - sin theta) as a cos...

Express `(cos theta - sin theta)` as a cosine of an angle.

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The correct Answer is:
`sqrt(2)cos[pi/4+theta]`
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VIKRAM PUBLICATION ( ANDHRA PUBLICATION)-TRIGONOMETRIC RATIOS UPTO TRANSFORMATIONS-EXERCISE - 6(C)
  1. Simplify the following : sin1140^(@)cos390^(@)-cos780^(@)sin750^(@)

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  2. Express ((sqrt(3)cos 25^(@)+sin25^(@)))/(2) as a sine of an angle.

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  3. Express (cos theta - sin theta) as a cosine of an angle.

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  4. Express tan theta in terms of tan alpha, if sin (theta + alpha) = cos ...

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  5. If tan theta = (cos 11^(@)+sin11^(@))/(cos11^(@)-sin11^(@)) and theta ...

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  6. If 0^(@) lt A, B lt 90^(@), such that cos A = 5/13, sin B = 4/5, find ...

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  7. Find tan 20^(@) + tan40^(@) + sqrt(3)tan20^(@)tan40^(@).

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  8. Find the value of tan56^(@)-tan11^(@)-tan56^(@).tan11^(@).

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  9. Evaluate sum(sin (A+B)sin(A-B))/(cos^(2)A cos^(2)B): if non of cos A ,...

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  10. Evaluate sum(sigmatauv(X-A))/(sigmatauvXsigmatauvA) if none of sinA, s...

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  11. Prove that cos35^(@)+cos85^(@)+cos155^(@)=0

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  12. Prove that tan72^(@)=tan18^(@)+2tan54^(@).

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  13. Prove that sin750^(@)cos480^(@)+cos120^(@)cos60^(@)=(-1)/2

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  14. Prove that cos A + cos((4pi)/3 -A) + cos ((4pi)/3 + A) = 0.

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  15. Prove that cos^(2)theta+cos^(2)((2pi)/(3)+theta)+cos^(2)((2pi)/(3)-the...

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  16. Find the value of sin^(2)82 1/2-sin^(2)22 1/2.

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  17. Find the value of cos^(2)112 1/2-sin^(2)52 1/2.

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  18. Evaluate sin^(2)((pi)/(8)+(theta)/(2))-sin^(2)((pi)/(8)-(theta)/(2))

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  19. Find the value of cos^(2)52(1^@)/(2) - sin^(2)22 (1^@)/2

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  20. Find the maximum and minimum value of f(x)=3cosx+4sinx

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