Prove that : (sin A + sec A) 2 + (cos A + cosec A) 2 = (1 + sec A. cosec A) 2 .

To prove: (sin A + sec A) 2 + (cos A + cosec A) 2 = (1 + sec A. cosec A) 2 . Solving L.H.S. of the equation : ⇒ (sin A + sec A) 2 + (cos A + cosec A) 2 ⇒ sin 2 A + sec 2 A + 2 sin A sec A + cos 2 A + cosec 2 A + 2 cos A cosec A ⇒ sin 2 A + cos 2 A + sec 2 A + cosec 2 A + 2 sin A sec A + 2 cos A cosec A ⇒ 1 + sec 2 A + cosec 2 A + 2 sin A sec A + 2 cos A cosec A Hence, proved that (sin A + sec A) 2 + (cos A + cosec A) 2 = (1 + sec A. cosec A) 2 .

A cumulative deposit account of monthly installment of ₹ 3,600 at 9% p.a. simple interest earns an interest of ₹ 17,982. Find the number of installments paid.

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Two equal cones are touching each other completely at the base circle. Given that the distance between the two vertices is 16 cm and the diameter of the base circle is 12 cm, find the total surface area of this solid.

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Use the information given in the figure alongside and find :
(i) the equation of line AB.
(ii) the co-ordinates of point Q.

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Mathematics

Prove that : (sin A + sec A)² + (cos A + cosec A)² = (1 + sec A. cosec A)².

Trigonometric Identities

Related Questions

A cumulative deposit account of monthly installment of ₹ 3,600 at 9% p.a. simple interest earns an interest of ₹ 17,982. Find the number of installments paid.

Two equal cones are touching each other completely at the base circle. Given that the distance between the two vertices is 16 cm and the diameter of the base circle is 12 cm, find the total surface area of this solid.

Use the information given in the figure alongside and find :
(i) the equation of line AB.
(ii) the co-ordinates of point Q.

Mathematics

Prove that : (sin A + sec A)2 + (cos A + cosec A)2 = (1 + sec A. cosec A)2.

Trigonometric Identities

Related Questions

A cumulative deposit account of monthly installment of ₹ 3,600 at 9% p.a. simple interest earns an interest of ₹ 17,982. Find the number of installments paid.

Two equal cones are touching each other completely at the base circle. Given that the distance between the two vertices is 16 cm and the diameter of the base circle is 12 cm, find the total surface area of this solid.

Use the information given in the figure alongside and find :(i) the equation of line AB.(ii) the co-ordinates of point Q.

Prove that : (sin A + sec A)² + (cos A + cosec A)² = (1 + sec A. cosec A)².

Use the information given in the figure alongside and find :
(i) the equation of line AB.
(ii) the co-ordinates of point Q.