dari rumus sin^2 alfa + cos^2 alfa=1, tunjukkan bahwa 1+cot^2 a= cosec^2 a
Matematika
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Pertanyaan
dari rumus sin^2 alfa + cos^2 alfa=1, tunjukkan bahwa 1+cot^2 a= cosec^2 a
1 Jawaban
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1. Jawaban dnnyz07
--> 1 + cot^2 a = csc^2 a
--> 1 + (1/tan^2 a) = 1/sin^2 a
-->1 + (1 / (sin^2 a / cos^2 a ))= 1/sin^2 a
--> 1 + (cos^2 a / sin^2 a ) = 1 / sin^2 a
--> (sin^2 a / sin^2 a) + (cos^2 a / sin^2 a ) = 1/sin^2 a
--> (sin^2 a + cos^2 a ) / ( sin^2 a ) = 1/ sin^2 a
--> 1/sin^2 a = 1/sin^2 a