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Please refer to the advice section of 'Trigonometric Equations 1 - Simple (Degrees)' for help.

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You will need to use basic trigonometric identities in this question.

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Please see this link if you do not know what these are.

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To convert from degrees to radians, multiply by $\\frac{\\pi}{180}$.

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Using trig identities to find solutions to equations

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$\\sin\\theta-\\sqrt{\\var{a}}\\cos\\theta=0$

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$\\tan\\theta=$ [[0]]

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$\\theta=$ [[1]] or [[2]]

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$2\\cos^2\\theta=\\cos\\theta+1$

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[[0]] $=0$

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$\\theta=$ [[1]], [[2]], [[3]] or [[4]]

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$\\sin^2\\theta=0.25$

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$\\sin\\theta=$ [[0]]

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$\\theta=$ [[1]], [[2]], [[3]] or [[4]]

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$\\cos^2\\theta-4\\sin^2\\theta=1$

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$\\theta=$ [[0]], [[1]] or [[2]]

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Solve the following equations in radians, for $\\theta$ in the range $0\\leq \\theta\\leq2\\pi$.

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Give your answers rounded to 2 decimal places in ascending order.

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The square root of $a$ is written as sqrt($a$). $\\theta$ is written as theta.

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