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The expression cos3theta+sin3theta+(2sin...

The expression `cos3theta+sin3theta+(2sin2theta-3)(sintheta-costheta)` is positive for all `theta` in `(2npi-(3pi)/4,2npi+pi/4),n in Z` `(2npi-pi/4,2npi+pi/6),n in Z` `(2npi-pi/3,2npi+pi/3),n in Z` `(2npi-pi/4,2npi+(3pi)/4),n in Z`

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The value(s) of theta , which satisfy 3-2\ costheta-4sintheta-cos2theta+sin2theta=0 is/are theta=2npi; n in I (b) 2npi+pi/2; n in I 2npi-pi/2; n in I (d) npi: n in I

If 4sin^2theta=1, then the values of theta are 2npi+-pi/3,\ n in Z b. npi+-pi/3,\ n in Z c. npi+-pi/6,\ n in Z d. 2npi+-pi/6,\ n in Z

If 4\ cos^2theta+sqrt(3)=2(sqrt(3)+1)costheta, then theta is 2npi+-pi/3, n in I (b) 2npi+-pi/4, n in I 2npi+-\ pi/6, n in I (d) none of these

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CENGAGE ENGLISH-TRIGONOMETRIC FUNCTIONS-All Questions
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