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Published byRosa Emily Carson Modified over 9 years ago
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(a) How to memorize the trigonometric identities? Trigonometric Identities Easy Memory Tips: Quadrant is acute sin cos tan IIIII IV I sin - - cos - - tan - - sin sin cos cos tan tan 180 o - 180 o + 360 o + 360 o - TC SA Only sin is +ve Only tan is +ve Only cos is +ve All ratio are +ve Convert the trigonometric ratios with the 6. More about Trigonometry The symbol of sine/cosine/tangent remains unchanged. Write the angle as . According to the quadrant that the angle lies in, determine the sign of the trigonometric ratio. angles 180 o ± and 360 o ± .
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Quadrant is obtuse sin cos tan III IIIIVIV 90 o - 90 o + 270 o + 270 o - sin - - cos - - -- sin cos cos sin tan 6. More about Trigonometry (a) How to memorize the trigonometric identities? Trigonometric Identities Easy Memory Tips: Only sin is +ve Only tan is +ve Only cos is +ve All ratio are +ve TC SA Convert the trigonometric ratios with the angles 90 o ± and 270 o ± . The symbol of sine/cosine/tangent is changed. Write the angle as . According to the quadrant that the angle lies in, determine the sign of the trigonometric ratio.
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Solve the equation sin = - 0.5. (Use calculator to calculate the answer) ∵ sin < 0 (b) For 0 o ≤ ≤360 o, how to solve the trigonometric equations?E.g. ∴ lies in quadrants III or IV Consider sin = 0.5 first. = 30 o ++ -- TC SA 180 o + 360 o - ∵ The symbol of sine does not change ∴ We only need to consider 180 o + and 360 o - i.e. = 180 o + or = 360 o - = 210 o 30 o or = 330 o AllSin 6. More about Trigonometry
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