Trigonometric Functions

Basic Trigonometric Functions


In triangle XYZXYZ, we have XY=14,YZ=27 XY = 14, YZ = 27 and ZX=925 ZX= \sqrt{925} . What is the integer that is closest to 100sinXYZ 100 \sin \angle XYZ ?

If tanA=34,\displaystyle \tan A=\frac{3}{4}, what is the value of 7cosA?7\cos A ?

If ACB=90,\angle ACB = 90^\circ, AC=50,AC=50, and BC=503,BC= 50\sqrt{3}, what is BAC? \angle BAC ?

If α\alpha is a real number such that tanα=13\tan \alpha = \frac{1}{\sqrt{3}} and cosα=32,\cos \alpha = \frac{\sqrt{3}}{2}, what is the value of 1sinα\frac{1}{\sin \alpha}?

If tanA=940,\displaystyle \tan A=\frac{9}{40}, what is the value of 7cosA?7\cos A ?


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