Tolong guys Buktikan bahwa: A. Cos x/sin^2 x-1 = -sec x B. Tan^4 x-1/sec^2 x = Tan^2 x-1
            Matematika
            
               
               
            
            
               
               
             
            asmauljanah05
         
         
         
                Pertanyaan
            
            Tolong guys
Buktikan bahwa:
A. Cos x/sin^2 x-1 = -sec x
B. Tan^4 x-1/sec^2 x = Tan^2 x-1
               
            Buktikan bahwa:
A. Cos x/sin^2 x-1 = -sec x
B. Tan^4 x-1/sec^2 x = Tan^2 x-1
               1 Jawaban
            
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			  	1. Jawaban yuzar98@
 cos x / (sin² x - 1) = - sec x
 = cos x/ -(1 - sin² x)
 = cos x / -(cos²x)
 = - sec x
 (tan⁴ x -1) /(sec²x ) = tan² x -1
 = (tan² +1)(tan²x -1) / sec² x
 = sec² x (tan² x - 1) / sec² x
 = tan² x - 1