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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 (theta + (pi)/(4))`
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AAKASH SERIES-COMPOUND ANGLES-EXERCISE - 2.1 ( VERY SHORT ANSWER QUESTIONS)
  1. S.T cos340^(@) . Cos40^(@)+sin200^(@).sin140^(@)=(1)/(2)

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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. If tan A = (1)/(2), tan B = (1)/(3)and A, B are acute angles then find...

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

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  6. Find Tan ((pi)/(4) + A) in terms of Tan A

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  7. Find Cot ((pi)/(4) + A) in terms of Cot A

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  8. Prove that sin ^(2) theta + sin ^(2) (theta+(pi)/(3))+ sin ^(2) (theta...

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  9. Prove that (cos9^(@)+sin9^(@))/(cos9^(@)-sin9^(@))=cot36^(@)

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

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  11. Prove that tan70^(@)-tan20^(@)=2tan50^(@).

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

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  13. Find the value of Tan10^(@) + Tan35^(@) + Tan10^(@).Tan35^(@).

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

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  15. Prove that Tan(theta + 135^(@)) Tan(theta-135^(@)) = - 1

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  16. Show that cos 35^(@) + cos 85^(@) + cos 155^(@) = 0

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

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  18. Show that sin 750 ^(@) cos 480^(@) + cos 120 ^(@) cos 60 ^(@)=-1/2

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  19. Find the value of sin^(2) 45^(@) - sin^(2) 15^(@)

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

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