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Find the remaining trigonometric functions of if csc = 29/ 21 and cos < 0

User Ivarne
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1 Answer

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Answer:

If csc = 29/21, then the reciprocal of this is equal to the sine of the angle. So,

sin = 21/29.

Since cosine is less than 0, then the angle must be in the second or third quadrant, which means that the sine of the angle must be positive. So,

sin = 21/29, and cos = -√(1 - sin^2) = -√(1 - (21/29)^2)

Next, we can find the tangent by taking the ratio of sine to cosine:

tan = sin / cos = 21/29 / -√(1 - (21/29)^2) = -21/√(841 - 441)

Finally, we can find the cotangent by taking the reciprocal of the tangent:

cot = 1 / tan = -√(841 - 441) / 21

So, the remaining trigonometric functions are:

sin = 21/29

cos = -√(1 - (21/29)^2)

tan = -21/√(841 - 441)

cot = -√(841 - 441) / 21

User Vijayaragavendran
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