Cos & sup2; (- a) - sin (- a) / Tan (2 π + a) reduction

Cos & sup2; (- a) - sin (- a) / Tan (2 π + a) reduction

cos²(-a)-sin(-a)/ tan(2π+a)
=cos²a+sina/tana
=cos²a+cosa
=(cosa+1/2)²-1/4

Given Tan α = 2, find sinacosa

sina/cosa=2
sin^2+cos^2=1
Find sin, cos

If Tan (a + π / 4) = 2, then 1 + sinacosa-2 (COSA) ^ 2

So Sina / cosa = 1 / 3cosa = 3sinacos & sup2; a + Sin & sup2; a = 110sin & sup2; a = 1 Sin & sup2; a = 1 / 10, cos & sup2; a = 9 / 10sina Co

Given sinacosa = - 1 / 4, find Tan square a + 1 / Tan square a=

1/sinacosa=-4
(sin²a+cos²a)/sinacosa=-4
So Sina / cosda + cosa / Sina = - 4
tana+1/tana=-4
Square on both sides
tan²a+2+1/tan²a=16
So the original formula is 14

The simplest form of (1 + cos power a) * Tan power a - sec power a?

(1+cos² a)*tan²a -sec²a=(1+cos² a)*(sin²a/cos²a) -(1/cos²a)=(sin²a+sin²a *cos²a-1)/cos²a=(-cos²a+sin²a *cos²a)/cos²a=-1+sin&#...

The simplest form of (1 + cos Square) Tan square sec square

(1+cosx^2)tanx^2 - secx^2 =(1+cosx^2)* (sinx^2/cosx^2) - (1/cosx^2) =sinx^2/cosx^2 + sinx^2 - (1/cosx^2) =(sinx^2-1)/cosx^2 + sinx^2 =-cosx^2 /cosx^2 + sinx^2 =sinx^2 - 1=-cosx^2

The simplest form of (1 + cos ^ 2a) Tan ^ 2A sec ^ 2A

(1+cos^2a)tan^2a-sec^2a=(1+cos²a)*sin²a/cos²a-1/cos²a=(sin²a+sin²acos²a-1)/cos²a=(sin²a+sin²acos²a-sin²a-cos²a)/cos²a=cos²a(s...

If sec (a) + Tan (a) = 2, request cos (a)

secA+tanA=(1+sinA)/cosA=2
sinA=2cosA-1
(cosA)^2+(sinA)^2=1
5(cosA)^2-4cosA+1=1
cosA=4/5

What is cot (- π - θ) equal to? Is it equal to - cot (π + θ)

cot(-π-θ)=-cot(π+θ)=-cot θ

Let Tan α = 1 / 2, Tan β = 1 / 3, then the value of cot (α + 2 β)

tan(A+B) = (tanA+tanB)/(1-tanAtanB)
So tan2 β = 3 / 4
tan（α+2β）=2,
cot（α+2β）=1/tan（α+2β）=1/2