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Trigonometry › Angles and radians › Point on the terminal side

Trig expression from a point on the terminal side

High school · ●●●○○ 50 pts

Let α\alpha be an angle in the second quadrant. The point P(x,5)P(x, \sqrt{5}) lies on the terminal side of α\alpha, and cos⁡α=24x\cos\alpha = \frac{\sqrt{2}}{4}x. Find 4cos⁡(α+π2)−3tan⁡α4\cos\left(\alpha + \frac{\pi}{2}\right) - 3\tan\alpha. Round to two decimal places.

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trigonometric functionscofunction identitiesquadrant signs