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Learn how to find the value of tan 75 degrees using trigonometric functions, unit circle, and identities. See examples of problems involving tan 75 degrees and its applications.
First we write the given angle in the sum of two standard angles such that 75 = 45 + 30. So tan 75 ° = tan (45 ° + 30 °) Now we use the formula tan (A + B) = tan A + tan B 1-tan A tan B. So we have tan (45 ° + 30 °) = tan 45 ° + tan 30 ° 1-tan 45 ° tan 30 ° (tan 45 ° = 1, tan 30 ° = 1 3) = 1 + 1 3 1-1. 1 3 = 3 + 1 3 × 3 3-1 = 3 + 1 ...
Split 75 75 into two angles where the values of the six trigonometric functions are known. tan(30+45) tan (30 + 45) Apply the sum of angles identity. tan(30)+tan(45) 1−tan(30)tan(45) tan (30) + tan (45) 1 - tan (30) tan (45) The exact value of tan(30) tan (30) is √3 3 3 3. √3 3 +tan(45) 1−tan(30)tan(45) 3 3 + tan (45) 1 - tan (30) tan (45)
Use our tan(x) calculator to find the exact value of tangent of 75 degrees - tan(75 °) - or the tangent of any angle in degrees and in radians.
26 Φεβ 2017 · The tan of 75 degrees is 2+√3, the same as tan of 75 degrees in radians. To obtain 75 degrees in radian multiply 75° by $\pi$ / 180° = 5/12 $\pi$. Tan 75degrees = tan (5/12 × $\pi)$.
Tangent calculator to easily calculate the tan function of any angle. Calculate cos(x) with this trigonometry calculator which accepts degrees and radians.
Use the tan calculator to find the tangent of an angle in radians or degrees, plus learn the trigonometric formulas and steps to solve it.
