IF COSEC A - COT A- 1-3- THE VALUE OF -COSEC A -COT nbsp- A- IS-

Dear Student!Given, cosec A ndash; cot A = 1/3We know that, cosec2 A ndash; cot2 A = 1cosec2 A ndash; cot2 A = 1 rArr; (cosec A ndash; cot A) (cos ...

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Standard X

Mathematics

Trigonometric Ratio(sin,cos,tan)

IF COSEC A - ...

Question

IF COSEC A - COT A= 1/3, THE VALUE OF (COSEC A +COT A) IS:

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Solution

Dear Student!
Given, cosec A – cot A = 1/3
We know that, cosec² A – cot² A = 1
cosec² A – cot² A = 1
⇒ (cosec A – cot A) (cosec A + cot A) = 1
⇒ (1/3)(cosec A + cot A) = 1
⇒ cosec A + cot A = 1 × 3 = 3
Thus, the value of cosec A + cot A is 3.
Cheers!

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IF COSEC A - COT A= 1/3, THE VALUE OF (COSEC A +COT A) IS:

Dear Student!Given, cosec A – cot A = 1/3We know that, cosec2 A – cot2 A = 1cosec2 A – cot2 A = 1⇒ (cosec A – cot A) (cosec A + cot A) = 1⇒ (1/3)(cosec A + cot A) = 1⇒ cosec A + cot A = 1 × 3 = 3Thus, the value of cosec A + cot A is 3.Cheers!

Dear Student!
Given, cosec A – cot A = 1/3
We know that, cosec² A – cot² A = 1
cosec² A – cot² A = 1
⇒ (cosec A – cot A) (cosec A + cot A) = 1
⇒ (1/3)(cosec A + cot A) = 1
⇒ cosec A + cot A = 1 × 3 = 3
Thus, the value of cosec A + cot A is 3.
Cheers!