Tan(80) = 5.6712818196.... ~ 5.6713 ( 4 d.p.)
The cotangent function is the reciprocal of the tangent function, so cot(115 degrees) is equivalent to 1/tan(115 degrees). Since tan(115 degrees) is equivalent to -tan(65 degrees) due to the periodicity of the tangent function, cot(115 degrees) simplifies to -tan(65 degrees), which corresponds to option A.
Tan 42 degrees = 0.9004
Tan(74 degrees) = 3.487414444.....
tan(11o) = 0.19438 =======
Tan )x degrees) = 1.66 x degrees) = Tan^(-1) 1.66 x = 58.9348.... degrees. NB Tan^(-1) on some calculators 9is shown as 'ArcTan'.
It can be shown that:height = (d tan α tan β)/(tan α - tan β)where: α is the angle closest to the objectβ is the angle further away from the objectd is the distance from the point of angle α to the point of angle βThus: height = (80 ft × tan 45° × tan 34°)/(tan 45° - tan 34°) ≈ 165.78 ft
It depends on the angle of depression of the sun. The answer would be 80ft * tan(90-angle of depression) At a depression angle of 40 degrees, the shadow would be 80 * tan (50) which equals 95.340ft
The cotangent function is the reciprocal of the tangent function, so cot(115 degrees) is equivalent to 1/tan(115 degrees). Since tan(115 degrees) is equivalent to -tan(65 degrees) due to the periodicity of the tangent function, cot(115 degrees) simplifies to -tan(65 degrees), which corresponds to option A.
cot 115 deg = - tan25 deg
The angle 300 degrees is in the fourth quadrant of the unit circle, where the tangent function is negative. Therefore, the sign of tan 300 degrees is negative. Specifically, tan 300 degrees can be calculated as tan(360 degrees - 60 degrees), which equals -tan(60 degrees), giving a negative value. Thus, tan 300 degrees is negative.
Tan 42 degrees = 0.9004
Tan(74 degrees) = 3.487414444.....
tan(135 degrees) = negative 1.
tan(11o) = 0.19438 =======
Tan )x degrees) = 1.66 x degrees) = Tan^(-1) 1.66 x = 58.9348.... degrees. NB Tan^(-1) on some calculators 9is shown as 'ArcTan'.
tan(22.5)=0.414213562
The answer is 0.2867.