B)2 = a2 + b2 + 2absin α = 1/cosec αcos α = 1/sec αsin2 α + cos2 α = 1cosec2 α = 1 + cot2 αsec2 α = 1 + TAN2 αCalculation:(sin α + cosec α)2 + (COS α + sec α)2⇒ sin2 α + COSEC2 α + 2sin α.cosec α + cos2 α + sec2 α + 2cos α.sec α (∵ (a + b)2 = a2 + b2 + 2ab)⇒ sin2 α + cosec2 α + 2 + cos2 α + sec2 α + 2 (∵ sin α = 1/cosec α and cos α = 1/sec α)⇒ (sin2 α + cos2 α) + 1 + cot2 α + 1 + tan2 α + 4 (∵ sin2 α + cos2 α = 1; cosec2 α = 1 + cot2 α and sec2 α = 1 + tan2 α)⇒ tan2 α + cot2 α + 7∴ The required answer is tan2 α + cot2 α + 7.

"> B)2 = a2 + b2 + 2absin α = 1/cosec αcos α = 1/sec αsin2 α + cos2 α = 1cosec2 α = 1 + cot2 αsec2 α = 1 + TAN2 αCalculation:(sin α + cosec α)2 + (COS α + sec α)2⇒ sin2 α + COSEC2 α + 2sin α.cosec α + cos2 α + sec2 α + 2cos α.sec α (∵ (a + b)2 = a2 + b2 + 2ab)⇒ sin2 α + cosec2 α + 2 + cos2 α + sec2 α + 2 (∵ sin α = 1/cosec α and cos α = 1/sec α)⇒ (sin2 α + cos2 α) + 1 + cot2 α + 1 + tan2 α + 4 (∵ sin2 α + cos2 α = 1; cosec2 α = 1 + cot2 α and sec2 α = 1 + tan2 α)⇒ tan2 α + cot2 α + 7∴ The required answer is tan2 α + cot2 α + 7.

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(sin α + cosec α)2 + (cos α + sec α)2 is equals to :

General Knowledge General Awareness in General Knowledge 9 months ago

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Formula used:(a + B)2 = a2 + b2 + 2absin α = 1/cosec αcos α = 1/sec αsin2 α + cos2 α = 1cosec2 α = 1 + cot2 αsec2 α = 1 + TAN2 αCalculation:(sin α + cosec α)2 + (COS α + sec α)2⇒ sin2 α + COSEC2 α + 2sin α.cosec α + cos2 α + sec2 α + 2cos α.sec α (∵ (a + b)2 = a2 + b2 + 2ab)⇒ sin2 α + cosec2 α + 2 + cos2 α + sec2 α + 2 (∵ sin α = 1/cosec α and cos α = 1/sec α)⇒ (sin2 α + cos2 α) + 1 + cot2 α + 1 + tan2 α + 4 (∵ sin2 α + cos2 α = 1; cosec2 α = 1 + cot2 α and sec2 α = 1 + tan2 α)⇒ tan2 α + cot2 α + 7∴ The required answer is tan2 α + cot2 α + 7.

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Posted on 13 Nov 2024, this text provides information on General Knowledge related to General Awareness in General Knowledge. Please note that while accuracy is prioritized, the data presented might not be entirely correct or up-to-date. This information is offered for general knowledge and informational purposes only, and should not be considered as a substitute for professional advice.

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