what is the easiest way to remember trigonometry??
Answers
Answer:
learn all the formula at 5:am in morning and Practice the question based on that formula in the noon
Answer:
Step-by-step explanation:
i LEARNED THIS IN 8 std
1
Create a blank trigonometry table. Draw your table to have 6 rows and 6 columns. In the first column, write down the trigonometric ratios (sine, cosine, tangent, cosecant, secant, and cotangent). In the first column, write down the angles commonly used in trigonometry (0°, 30°, 45°, 60°, 90°). Leave the other entries in the table blank.
Sine, cosine, and tangent are the more commonly used trigonometric ratios, although you should also learn cosecant, secant, and cotangent to have an in-depth knowledge of the trigonometric table.
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Place the sine column entries in the cosine column in reverse order. Mathematically speaking, sin x° = cos (90-x)° for any x value. Thus, to fill in the cosine column, simply take the entries in the sine column and place them in reverse order in the cosine column. Fill in the cosine column such that the value for the sine of 90° is also used as the value for the cosine of 0°, the value for the sine of 60° is used as the value for the cosine of 30°, and so on.[1]
For example, since 1 is the value placed in the final entry in the sine column (sine of 90°), this value will be placed in the first entry for the cosine column (cosine of 0°).
Once filled, the values in the cosine column should be 1, √3/2, 1/√2, ½, and 0.
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5
Reverse the entries in the sine column to find the cosecant of an angle. Starting from the bottom row of the sine column, take the sine values you’ve already calculated and place them in reverse order in the cosecant column. This works because the cosecant of an angle is equal to the inverse of the sine of that angle.[3]
For instance, use the sine of 90° to fill in the entry for the cosecant of 0°, the sine of 60° for the cosecant of 30°, and so on.
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6
Place the entries from the cosine column in reverse order in the secant column. Starting from the cosine of 90°, enter the values from the cosine column in the secant column, such that value for the cosine of 90° is used as the value for the secant of 0°, the value for the cosine of 60° is used as the value for the secant of , and so on.[4]
This is mathematically valid because the inverse of the cosine of an angle is equal to that angle’s secant.
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7
Fill the cotangent column by reversing the values from the tangent column. Take the value for the tangent of 90° and place it in the entry space for the cotangent of 0° in your cotangent column. Do the same for the tangent of 60° and the cotangent of 30°, the tangent of 45° and the cotangent of 45°, and so on, until you’ve filled in the cotangent column by inverting the order of entries in the tangent column.[5]
This works because the cotangent of an angle is equal to the inversion of the tangent of an angle.
You can also find the cotangent of an angle by dividing its cosine by its sine.
Method
2
Using the SOHCAHTOA Method
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1
Draw a right triangle around the angle you’re working with. Start by extending 2 straight lines out from the sides of the angle. Then, draw a third line perpendicular to one of these 2 lines to create a right angle. Continue drawing this perpendicular line towards the other of the 2 original lines until it intersects with it, thereby creating a right triangle around the angle you’re working with.[6]
If you’re calculating sine, cosine, or tangent in the context of a math class, it’s likely you’ll already be working with a right triangle.
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2
Calculate sine, cosine, or tangent by using the sides of the triangle. The sides of the triangle can be identified in relation to the angle as the “opposite” (the side opposite of the angle), the “adjacent” (the side next to the angle other than the hypotenuse), and the “hypotenuse” (the side opposite the right angle of the triangle). Sine, cosine, and tangent can all be expressed as different ratios of these sides.[7]
The sine of an angle is equal to the opposite side divided by the hypotenuse.
The cosine of an angle is equal to the adjacent side divided by the hypotenuse.
Finally, the tangent of an angle is equal to the opposite side divided by the adjacent side.
For example, to determine the sine of a 35°, you would divide the length of the opposite side of the triangle by the hypotenuse. If the opposite side’s length was 2.8 and the the hypotenuse was 4.9, then the sine of the angle would be 2.8/4.9, which is equal to 0.57.
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