yuzusakahara yuzusakahara
  • 20-01-2024
  • Mathematics
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6. (a) If sin A = m and tan A = n, prove that: m ² - n² = 1 ​

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cmrc78
cmrc78 cmrc78
  • 20-01-2024

Answer:

The statement is false

Step-by-step explanation:

You cannot prove this since it's not true.

Assume for example that A=30°

[tex]Sin(A) = 0.5\\Sin^{2} (A) = 0.25 = \frac{1}{4} \\Tan(A) = \frac{1}{\sqrt{3}} \\Tan^{2} (A) = \frac{1}{3}\\Sin^{2} (A) - Tan^{2} (A) = \frac{1}{4} - \frac{1}{3} =- \frac{1}{12} \neq 1[/tex]

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