2018年6月2日 · tan (pi/4)=1 pi=180˚ therefore pi/4=45˚ hence tan 45˚=1 The reason pi equals 180˚ is that the circumference of a circle is 360˚ C=2pir=360˚ which is one full rotation of r now 180˚ is 1/2 a rotation of r which equals 1/2 * 2pi= pi therefore pi=180˚

2018年3月13日 · 1 Use special right triangles to find the value. Since pi/4 = 45 degrees, use the special right triangle on the left. If you do the tan (pi/4), you do the (opposite)/(adjacent). According to the triangle, the ratio is just one.

2016年12月14日 · Hence #pi/4# means #180/4# which is 45 ° . #45 ° # is a special triangle where the measurements are . Now, you can find the sine, cosine and tangent without a calculator! You should obtain . Sin and cosine: #1/(sqrt2)# Tangent: #1# I am assuming you are familiar with the formula SOH CAH TOA, yes?

2018年4月25日 · We note that, #color(blue)(pi-theta,3pi-theta,5pi-theta,...,(2k+1)pi-theta,toII^(nd) Quadrant# #color(blue)(So, tantheta < 0#

2015年11月5日 · The answer is -pi/4 Alright, archtan / tan^-1(x) is the inverse of tangent. Tan is sin/cos. Like the inverse of sin, the inverse of tan is also restricted to quadrants 1 and 4. Knowing this we are solving for the inverse of tan -1. We are basically being asked the question what angle/radian does tan(-1) equal. Using the unit circle we can see that tan(1)= pi/4. Since the "Odds and Evens ...

2016年5月28日 · Using formula . #tan (A+B)= (tanA +tanB)/(1-tanAtanB)# in the expression of LHS #LHS=tan(x+pi/4)=(tanx+tan(pi/4))/(1-tanx*tan(pi/4))=(1+tanx)/(1-tanx)=RHS#

2016年4月25日 · tan((3pi)/4)=-1 (3pi)/4=pi-pi/4 a=pi b=pi/4 tan(a-b)=(tan a-tan b)/(1+tan a*tan b) tan((3pi)/4)=(tan pi-tan (pi/4))/(1+tan pi*tan (pi/4) tan((3pi)/4)=(0-1)/(1+0*1 ...

2016年5月3日 · Let us start from Right Hand Side. #tan(pi/4+A/2)# = #(tan(pi/4)+tan(A/2))/(1-tan((pi)/4)tan(A/2)# = #(1+tan(A/2))/(1-1*tan(A/2)#

2017年2月10日 · If sinA=4/5 and cosB= -5/13, where A belongs to QI and B belongs to QIII, then find sin(A+B).... See all questions in Sum and Difference Identities Impact of this question

2018年3月9日 · We will use the following Properties: #color(blue)(sin(x+y)=sinxcosy+cosxsiny# #color(blue)(cos(x+y)=cosxcosy-sinxsiny#