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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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SRISIRI PUBLICATION-IPE SCANNER (TEXUAL BITS)-Very Short Questions (2 marks) (Trigonometric Ratios, Transformations)
  1. Express ((sqrt(3)cos 25^(@)+sin25^(@)))/(2) as a sine of an angle.

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  2. Expres sqrt3 sin 0 + cos 0 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. Evaluate 6 sin 20^(@) - 8 sin^(3)20^(@).

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  6. Prove that (sin70^(@)-cos40^(@))/(cos50^(@)-sin20^(@)) = 1/(sqrt(3)).

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  7. Prove that sin 78^(@) + cos132^(@) = (sqrt(5)-1)/(4).

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  8. Prove that sin21^(@)cos9^(@)-cos84^(@)cos6^(@)=1/4.

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  9. Find the value of sin 34^(@) +cos 64^(@)- cos 4^(@)

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  10. Prove that sin50^(@)-sin70^(@)+sin10^(@)=0

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  11. Prove that 4(cos66^(@)+sin84^(@)) = sqrt(3) + sqrt(15).

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  12. Prove that cos 20^(@) cos 40^(@) - sin5^(@) sin 25^(@) = (sqrt(3)+1)/(...

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  13. Prove that cos theta + cos[(2pi)/3 + theta] + cos [(4pi)/(3) + theta] ...

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

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  15. Find the value of sin 22(1/2)^(@)

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  16. Find the value of sin 75^(@)

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  17. Find the value of tan 75^(@)

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  18. Find the value of tan 75^(@) + cot 75^(@)

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  19. Find the values of cos 22(1/2)^(@) using the value of cos 45°?

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  20. Find the values of tan 22(1/2)^(@)

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