Question

(sin theta+cos theta+1)(sin theta-1+cos theta)×sec theta cosec theta=2

Answer 1

Step-by-step explanation:

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Answer 2

Step-by-step explanation:

= (Sin theta+Cos theta + 1)(Sin theta - 1+Costheta)

× Sec theta × Cosec theta

= {(Sin theta + Cos theta) + 1 } × {(Sin theta +

Cos theta) - 1 } × Sec theta × Cosec theta

= {(Sin theta + Cos theta)² - (1)²} × Sec theta

× Cosec theta

= {Sin²theta+Cos²theta + 2Sintheta*Cosectheta

- 1 } × Sec theta × Cosec theta

= { 1 + Sin 2theta - 1 } × Sec theta × Cosec theta

= Sin 2theta × Sec theta × Cosec theta

=2Sin theta *Cos theta × 1/Cos theta * Sin theta

= 2Sin theta * Cos theta / Sin theta* Cos theta

= 2

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