tangents, Mathematics

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two circle of radius of 2cm &3cm &diameter of 8cm dram common tangent

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?, x/15=50/20

x/15=50/20

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Pi, is that rational or irrational number

is that rational or irrational number

Prove that cos - sin = v2 sin , If cos?+sin? = √2 cos?, prove that cos? - ...

If cos?+sin? = √2 cos?, prove that cos? - sin? =  √2 sin ?. Ans:    Cos? + Sin? =  √2 Cos? ⇒ ( Cos? + Sin?) 2  = 2Cos 2 ? ⇒ Cos 2 ? + Sin 2 ?+2Cos? Sin? = 2Cos 2 ? ⇒

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