Question

Tan A= 1/a (Kuadran I) . Maka Cos A- (1/sin A) adalah

Answer 1

Verified answer

TriGonoMetRi

tan A = y/x = 1/a
r = √(y² + x²)
r = √(1² + a²)
r = √(1 + a²)

cos A - (1/sin A)
= x/r - r/y
= a/r - r
= (a - r²)/r
= (a - (1 + a²))/√(1 + a²)
= (-a² + a - 1)/√(1 + a²)

Answer 2

Verified answer

Jawab

tan A  = 1/a
sin A = 1/ √(a²+1)
cos A = a/√(a²+1)

cos A  - ( 1/sin A) =

= a/√(a²+1)  - √(a² +1)
= (a - (a² +1) / √(a² +1)
= (-a² + a - 1) / √(a² +1)