(i) Evaluate : (ii) Evaluate : (iii) Prove that : = 2.

Question

KnowledgeBoat · Accepted Answer

(i) Solving, Hence, = 1 - sin A. cos A (ii) Solving, Hence, = 1 + sin A.cos A (iii) From part (i) and (ii), we get : = 1 - sin A.cos A + 1 + sin A.cos A = 2. Hence, proved that = 2.

Mathematics

(i) Evaluate : (ii) Evaluate : (iii) Prove that : = 2.

Trigonometric Identities

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Joseph has a recurring deposit account in a bank for 3 years at 10% p.a. simple interest. If he gets ₹ 16,650 as interest at the time of maturity, find his monthly deposit and the maturity value.

If a, b and c are in continued proportion, prove that :
abc(a + b + c)³ = (ab + bc + ca)³.

The given figure shows a semicircle with center at point O and AE as diameter. Chord AB = chord BC and angle CEO = 50°.
(i) Find angle AOB.
(ii) Show that OB is parallel to EC.

Mathematics

(i) Evaluate : (ii) Evaluate : (iii) Prove that : = 2.

Trigonometric Identities

Related Questions

Joseph has a recurring deposit account in a bank for 3 years at 10% p.a. simple interest. If he gets ₹ 16,650 as interest at the time of maturity, find his monthly deposit and the maturity value.

If a, b and c are in continued proportion, prove that :abc(a + b + c)3 = (ab + bc + ca)3.

The given figure shows a semicircle with center at point O and AE as diameter. Chord AB = chord BC and angle CEO = 50°.(i) Find angle AOB.(ii) Show that OB is parallel to EC.

If a, b and c are in continued proportion, prove that :
abc(a + b + c)³ = (ab + bc + ca)³.

The given figure shows a semicircle with center at point O and AE as diameter. Chord AB = chord BC and angle CEO = 50°.
(i) Find angle AOB.
(ii) Show that OB is parallel to EC.