Prove that : tan 2 A + cot 2 A + 2 = sec 2 A. cosec 2 A

To prove: tan 2 A + cot 2 A + 2 = sec 2 A. cosec 2 A Solving L.H.S. of the above equation : Since, L.H.S. = R.H.S. Hence, proved that tan 2 A + cot 2 A + 2 = sec 2 A. cosec 2 A

Factorise completely using factor theorem :
6x³ - 11x² - 3x + 2.

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In an A.P., eight times of 8th term is equal to fifteen times the fifteenth term. Find the 23rd term of the A.P.

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A(8, 6), B(10, -10) and C(4, -4) are the vertices of triangle ABC. If P is the mid-point of side AB and Q is mid-point of side AC, show that PQ is parallel to side BC also show 2 × PQ = BC.

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Cards numbered 11 to 60 are kept in a box. If a card is drawn at random from the box, find the probability that the number on the drawn card is :
(i) a perfect square number
(ii) divisible by 5
(iii) a prime number less than 20.

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Mathematics

Prove that : tan² A + cot² A + 2 = sec² A. cosec² A

Trigonometric Identities

Related Questions

Factorise completely using factor theorem :
6x³ - 11x² - 3x + 2.

In an A.P., eight times of 8th term is equal to fifteen times the fifteenth term. Find the 23rd term of the A.P.

A(8, 6), B(10, -10) and C(4, -4) are the vertices of triangle ABC. If P is the mid-point of side AB and Q is mid-point of side AC, show that PQ is parallel to side BC also show 2 × PQ = BC.

Cards numbered 11 to 60 are kept in a box. If a card is drawn at random from the box, find the probability that the number on the drawn card is :
(i) a perfect square number
(ii) divisible by 5
(iii) a prime number less than 20.

Mathematics

Prove that : tan2 A + cot2 A + 2 = sec2 A. cosec2 A

Trigonometric Identities

Related Questions

Factorise completely using factor theorem :6x3 - 11x2 - 3x + 2.

In an A.P., eight times of 8th term is equal to fifteen times the fifteenth term. Find the 23rd term of the A.P.

A(8, 6), B(10, -10) and C(4, -4) are the vertices of triangle ABC. If P is the mid-point of side AB and Q is mid-point of side AC, show that PQ is parallel to side BC also show 2 × PQ = BC.

Cards numbered 11 to 60 are kept in a box. If a card is drawn at random from the box, find the probability that the number on the drawn card is :(i) a perfect square number(ii) divisible by 5(iii) a prime number less than 20.

Prove that : tan² A + cot² A + 2 = sec² A. cosec² A

Factorise completely using factor theorem :
6x³ - 11x² - 3x + 2.

Cards numbered 11 to 60 are kept in a box. If a card is drawn at random from the box, find the probability that the number on the drawn card is :
(i) a perfect square number
(ii) divisible by 5
(iii) a prime number less than 20.