RD Sharma - Mathematics

Book: RD Sharma - Mathematics

Chapter: 7. Values of Trigonometric Functions at Sum of Difference of Angles

Subject: Maths - Class 11th

Q. No. 17 of MCQ

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17

Mark the correct alternative in the following:

If tan (π/4 + x) + tan (π/4 – x) = a, then tan2 (π /4 + x) + tan2 (π /4 – x) =




= a2 - 2

Chapter Exercises

Exercise 7.1
Exercise 7.2
Very Short Answer
MCQ

More Exercise Questions

1

Mark the correct alternative in the following:

The value of is
2

Mark the correct alternative in the following:

If A + B + C = π, then sec A (cos B cos C – sin B sin C) is equal to
3

Mark the correct alternative in the following:

tan 20o + tan 40o + √3 tan 20o tan 40o is equal to
4

Mark the correct alternative in the following:

If and then the value of A + B is
5

Mark the correct alternative in the following:

If 3 sin x + 4 cos x = 5, then 4 sin x – 3 cos x =
6

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If in a ∆ABC, tan A + tan B + tan C = 6, then cot A cot B cot C =
7

Mark the correct alternative in the following:

tan 3A – tan 2A – tan A is equal to
8

Mark the correct alternative in the following:

If then is equal to
9

Mark the correct alternative in the following:

If and where P and Q both are acute angles. Then, the value of P – Q is
10

Mark the correct alternative in the following:

If cot (α + β) = 0, then sin (α + 2 β) is equal to
11

Mark the correct alternative in the following:

is equal to
12

Mark the correct alternative in the following:

The value of is
13

Mark the correct alternative in the following:

If then


14

Mark the correct alternative in the following:

If sin (π cos x) = cos (π sin x), then sin 2x =
15

Mark the correct alternative in the following:

If and then the value of θ + ϕ is
16

Mark the correct alternative in the following:

The value of cos (36o – A) cos (36o + A) + cos (54o + A) cos (54o – A) is
17

Mark the correct alternative in the following:

If tan (π/4 + x) + tan (π/4 – x) = a, then tan2 (π /4 + x) + tan2 (π /4 – x) =
18

Mark the correct alternative in the following:

If then the smallest positive value of B is
19

Mark the correct alternative in the following:

If A – B = π /4, then (1 + tan A) (1 – tanB) is equal to
20

Mark the correct alternative in the following:

The maximum value of is
21

Mark the correct alternative in the following:

If and tan A tan B = 2, then
22

Mark the correct alternative in the following:

If tan 69o + tan 66o – tan 69o tan 66o = 2k, then k =
23

Mark the correct alternative in the following:

If and then α + β is equal to

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