trigonometric identities Archives - Page 12 of 15

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deepaksoniGuru

Asked: March 16, 2021In: ICSE

If x = h + a cos θ and y = k + a sin θ, prove that (x – h)2 + (y – k)2 = a2.

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This is an important question from the Book- ML Aggarwal Board- ICSE Publication- Avichal Chapter- Trigonometric Identities Chapter number-18 If ...Read more

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deepaksoniGuru

Asked: March 16, 2021In: ICSE

If x – a sec θ + b tan θ and y = a tan θ + b sec θ, prove that x2 – y2 = a2 – b2.

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This is an important question from the Book- ML Aggarwal Board- ICSE Publication- Avichal Chapter- Trigonometric Identities Chapter number-18 If x ...Read more

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deepaksoniGuru

Asked: March 16, 2021In: ICSE

If sec θ + tan θ = m and sec θ – tan θ = n, prove that mn = 1.

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This is an important question from the Book- ML Aggarwal Board- ICSE Publication- Avichal Chapter- Trigonometric Identities Chapter number-18 If sec ...Read more

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deepaksoniGuru

Asked: March 16, 2021In: ICSE

If 7 sin2 θ + 3 cos2 θ = 4, 0° ≤ θ ≤ 90°, then find the value of θ.

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This is an important question from the Book- ML Aggarwal Board- ICSE Publication- Avichal Chapter- Trigonometric Identities Chapter number-18 If 7 ...Read more

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deepaksoniGuru

Asked: March 16, 2021In: ICSE

If sin θ + cos θ = √2 sin (90° – θ), show that cot θ = √2 + 1

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This is an important question from the Book- ML Aggarwal Board- ICSE Publication- Avichal Chapter- Trigonometric Identities Chapter number-18 If sin ...Read more

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deepaksoniGuru

Asked: March 16, 2021In: ICSE

(i) 1/ (sec A + tan A) – 1/cos A = 1/cos A – 1/(sec A – tan A) (ii) (sin A + sec A)2 + (cos A + cosec A)2 = (1 + sec A cosec A)2 (iii) (tan A + sin A)/ (tan A – sin A) = (sec A + 1)/ (sec A – 1)

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This is an important question from the Book- ML Aggarwal Board- ICSE Publication- Avichal Chapter- Trigonometric Identities Chapter number-18 We. Have ...Read more

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deepaksoniGuru

Asked: March 16, 2021In: ICSE

(i) Prove that (Sin^3A+cos^3A/sinA+cosA) + (sin^3A-cos^3A/sinA-cosA)=2 (ii)Prove that tan2A/(1+tan2A)+cot2A/(1+cot2A)=1

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This is an important question from the Book- ML Aggarwal Board- ICSE Publication- Avichal Chapter- Trigonometric Identities Chapter number-18 We have ...Read more

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deepaksoniGuru

Asked: March 16, 2021In: ICSE

(i) (sin θ + cos θ) (sec θ + cosec θ) = 2 + sec θ cosec θ (ii) (cosec A – sin A) (sec A – cos A) sec2A = tan A

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This is an important question from the Book- ML Aggarwal Board- ICSE Publication- Avichal Chapter- Trigonometric Identities Chapter number-18 We have ...Read more

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deepaksoniGuru

Asked: March 16, 2021In: ICSE

(i) (Cot theta +cosec theta-1) /(cot theta – cosec theta+1) =(1+cos theta) /sin theta (ii) Sin theta/cot theta+cosec theta = 2+ sin theta/cot theta-cosec theta

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This is an important question from the Book- ML Aggarwal Board- ICSE Publication- Avichal Chapter- Trigonometric Identities Chapter number-18 We have ...Read more

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deepaksoniGuru

Asked: March 16, 2021In: ICSE

(i) cosec6 A – cot6 A = 3 cot2 A cosec2 A + 1 (ii) sec6 A – tan6 A = 1 + 3 tan2 A + 3 tan4 A

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This is an important question from the Book- ML Aggarwal Board- ICSE Publication- Avichal Chapter- Trigonometric Identities Chapter number-18 We have ...Read more

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