Trigonometry (Maxima & Minima)

Hello guys, How are you? I hope are you fine and well. So in this page we discussed important questions related to Trigonometry. In Trigonometry, we discussed where the value of some equality lies....

So, let's start the series:

First question is

1. If 0°<θ<90°, the value of sinθ + cosθ is :

(A) equal to 1

(B) greater than 1

(C) less than 1

(D) equal to 2

【video solution】

Solution:

(B)

2.  Maximum value of (2sinθ + 3cosθ) is :

(A) 2

(B) √13

(C) √15

(D) 1


Solution:

(B)

3.  The equation cos²θ = (x+y)²/4xy is only possible when:

(A) x=-y

(B) x>y

(C) x=y

(D) x<y


Solution:

(C)

4.  The minimum value of 4tan²θ + 9 cot²θ is equal to :

(A) 1

(B) 2

(C) 12

(D) 13


Solution:

(C)

5.  The minimum value of 2sin²θ + 3cos²θ is :

(A) 0

(B) 3

(C) 2

(D) 1


Solution:

(C)

6.  The greatest value of sin⁴θ+ cos⁴θ is :

(A) 2

(B) 3

(C) 1/2

(D) 1


Solution:

(D)

7.  Which one of the following is true for 0°<θ<90°?

(A) cosθ ≤ cos²θ

(B) cosθ < cos²θ

(C) cosθ > cos²θ

(D) cosθ ≥ cos²θ


Solution:

(C)

8.  The maximum value of 1 + sin(x/4 +θ) + 2cos(x/4-θ) for real values of θ is :

(A) 3

(B) 4

(C) 5

(D) 6


Solution:

(B)

9.  What is the least value of tan²θ + cot²θ + sin²θ + cos²θ + sec²θ + cosec²θ ?

(A) 1

(B) 3

(C) 5

(D) 7


Solution:

(D)

10.  The least value of tan²x + cot²x is :

(A) 3

(B) 2

(C) 0

(D) 1


Solution:

(B)

11. What is the least value of 15 cos²θ + 17sin²θ ?

(A) 14

(B) 15

(C) 2

(D) 18


Solution:

(B)

I hope you guys get valuable knowledge regarding your exams. 

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