मराठी

Show that tan4θ + tan2θ = sec4θ – sec2θ.

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प्रश्न

Show that tan4θ + tan2θ = sec4θ – sec2θ.

बेरीज
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उत्तर

L.H.S = tan4θ + tan2θ

= tan2θ(tan2θ + 1)

= tan2θ.sec2θ  ...[∵ sec2θ = tan2θ + 1]

= (sec2θ – 1).sec2θ  ...[∵ tan2θ = sec2θ – 1]

= sec4θ – sec2θ

= R.H.S

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  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 8: Introduction To Trigonometry and Its Applications - Exercise 8.3 [पृष्ठ ९५]

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एनसीईआरटी एक्झांप्लर Mathematics Exemplar [English] Class 10
पाठ 8 Introduction To Trigonometry and Its Applications
Exercise 8.3 | Q 15 | पृष्ठ ९५
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