If A = 30∘, verify that: (i) sin 2A=2 tan A1+tan2 A (ii) cos

1.	If A = 30∘, verify that: (i) sin 2A=2 tan A1+tan2 A (ii) cos 2A=1−tan2 A1+tan2 A (iii) tan 2A=2 tan A1−tan2 A
Answer» If A = $30^{\circ},$ verify that: (i) $s i n 2 A = \frac{2 t a n A}{1 + t a n^{2} A}$ (ii) $c o s 2 A = \frac{1 - t a n^{2} A}{1 + t a n^{2} A}$ (iii) $t a n 2 A = \frac{2 t a n A}{1 - t a n^{2} A}$

If A = 30∘, verify that: (i) sin 2A=2 tan A1+tan2 A (ii) cos 2A=1−tan2 A1+tan2 A (iii) tan 2A=2 tan A1−tan2 A

Answer»

If A = $30^{\circ},$ verify that:

(i) $s i n 2 A = \frac{2 t a n A}{1 + t a n^{2} A}$ (ii) $c o s 2 A = \frac{1 - t a n^{2} A}{1 + t a n^{2} A}$ (iii) $t a n 2 A = \frac{2 t a n A}{1 - t a n^{2} A}$

Discussion

No Comment Found

Related InterviewSolutions

A ladder of length 6 metres makes an angle of 45° with the floor while leaning against one wall of a room. If the foot of the ladder is kept fixed on the floor and it is made to lean against the opposite wall of the room, it makes an angle of 60° with the floor. Find the distance between two walls of the room. [CBSE 2011]
12. The height of a building is one-third of the height of telephone exchange tower standing on it . If the angle of elevation of the top of the building when seen from a point on the ground is 30^° , then find the tangent of angle of elevation of the top of the telephone exchange tower when seen from the same point .
Question 5 In the following question out of the four options only one is correct, write the correct answer: If 5x3−4=2x5, then the numerical value of 2x-7 is: (a) 1913 (b) −1319 (c) 0 (d) 1319
In figure displayed below, if TP and TQ are the two tangents to a circle with centre O so that ∠POQ=110∘, then ∠PTQ is equal to
In the given figure, if ∠OAB=40∘, then ∠ACB = ___.
1. From a point 100 metre above a lake the angle of elevation of a stationary helicopter is 30^° and the angle of depression of reflection of the helicopter in the lake is 60 degree. Find the height of the helicopter above the lake.
If A and B are any two events having P(A∪B)=12 and P(A)=23 then probability of A ∩ B is (a) 12 (b) 23 (c) 16 (d) 13
For the given linear equation x−2y=1, match the different x values with their corresponding y values.
Let A be a square matrix of order n such that det(A)=10 and det(2A)2=40. Then the order of A is[1 mark]
A tangent is a secant with which of the following properties?

If A = 30∘, verify that: (i) sin 2A=2 tan A1+tan2 A (ii) cos 2A=1−tan2 A1+tan2 A (iii) tan 2A=2 tan A1−tan2 A

Discussion

No Comment Found

Related InterviewSolutions

Reply to Comment