301)

sin(40° +θ)⋅cos(10° +θ)−cos(40° +θ)⋅sin(10° +θ) is equal to

A)

1

B)

¼

C)

½

D)

¾

302)

The minimum value of 2 sin²θ + 3 cos²θ is

A)

0

B)

1

C)

2

D)

3

303)

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

304)

The minimum value of sin²θ + cos²θ + sec²θ + cosec²θ + tan²θ + cot²θ

A)

1

B)

3

C)

5

D)

7

305)

The equation \(cos^2 θ= {(x+y)^2\over 4xy}\)  is only possible when

A)

x = -y

B)

x > y

C)

x < y

D)

x = y 

306)

The greatest value of sin⁴θ + cos⁴θ is

A)

1

B)

2

C)

3

D)

4

307)

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

A)

cos θ < cos²θ

B)

cos θ > cos²θ

C)

cos θ ≤ cos²θ

D)

cos θ ≥ cos²θ

308)

If \(cosπx=x^2-x+ {5 \over 4}\), the value of \(x\) will be

A)

0

B)

1

C)

-1

D)

none of these

309)

If \(sin {πx\over 2}=x^2-2x+2\), then the value of x is 

A)

0

B)

1

C)

-1

D)

none of these

310)

If \(A = sin^2θ+cos^4θ\) for any value of θ, then the value of A is

A)

1 ≤ A ≤ 2

B)

¾ ≤ A ≤ 1

C)

½ ≤ A ≤ 1

D)

½ ≤ A ≤ ¾