Find the exact trigonometric ratios for the angle x whose radian measure is given. (if an answer is undefined, enter undefined.) 3π/4.

Solution:

Trigonometric ratios are the ratios of the length of sides of a triangle.

These ratios in trigonometry relate the ratio of sides of a right triangle to the respective angle.

The basic trigonometric ratios are sin, cos, and tan, namely sine, cosine, and tangent ratios.

Given, the angle x = 3π/4 radians

We have to find the exact trigonometric ratios.

Angle x = 3π/4 = 135°

The angle is in the second quadrant.

sin 135° = √2/2

cos 135° = -√2/2

tan 135° = -1

cosec 135° = √2

sec 135° = -√2

cot 135° = -1

Therefore, the exact trigonometric ratios for the angle x are √2/2, -√2/2, -1, √2, -√2 and -1.

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Find the exact trigonometric ratios for the angle x whose radian measure is given. (if an answer is undefined, enter undefined.) 3π/4.

Summary:

The exact trigonometric ratios for the angle x whose radian measure is given. (if an answer is undefined, enter undefined.) 3π/4 are √2/2, -√2/2, -1, √2, -√2 and -1.