Root over [{ 1 + sin x } ÷ { 1 − sin x}] = − csc ∂ − cot ∂ , then ∂ is in, Q1 or Q2 , 2. Q1 or Q3 , 3. Q3 or Q4 , 4. Q1 or Q4

Question

Root over [{ 1 + sin x } ÷ { 1 − sin x}] = − csc ∂ − cot ∂ , then ∂ is in, Q1 or Q2 ,​ 2. Q1 or Q3 , 3. Q3 or Q4 , 4. Q1 or Q4

Arun · Answer

Dear student LHS is always positive. Now RHS = = - ( cosec x + cot x) Hence (Cosec x + cot x ) should be negative Then x definitely should be in Quadrant 4. Now one case can be quad 3. Regards Arun (askIITians forum expert)

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Root over [{ 1 + sin x } ÷ { 1 − sin x}] = − csc ∂ − cot ∂ , then ∂ is in, Q1 or Q2 , 2. Q1 or Q3 , 3. Q3 or Q4 , 4. Q1 or Q4

Root over [{ 1 + sin x } ÷ { 1 − sin x}] = − csc ∂ − cot ∂ , then ∂ is in,

Q1 or Q2 , 2. Q1 or Q3 , 3. Q3 or Q4 , 4. Q1 or Q4

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Root over [{ 1 + sin x } ÷ { 1 − sin x}] = − csc ∂ − cot ∂ , then ∂ is in, Q1 or Q2 ,​ 2. Q1 or Q3 , 3. Q3 or Q4 , 4. Q1 or Q4

Root over [{ 1 + sin x } ÷ { 1 − sin x}] = − csc ∂ − cot ∂ , then ∂ is in, Q1 or Q2 ,​ 2. Q1 or Q3 , 3. Q3 or Q4 , 4. Q1 or Q4

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Root over [{ 1 + sin x } ÷ { 1 − sin x}] = − csc ∂ − cot ∂ , then ∂ is in, Q1 or Q2 , 2. Q1 or Q3 , 3. Q3 or Q4 , 4. Q1 or Q4

Root over [{ 1 + sin x } ÷ { 1 − sin x}] = − csc ∂ − cot ∂ , then ∂ is in,

Q1 or Q2 , 2. Q1 or Q3 , 3. Q3 or Q4 , 4. Q1 or Q4