Trigonometric Ratios & Identity Model Questions Set 1 Practice Questions Answers Test with Solutions & More Shortcuts

Question : 11

What is ${\text"sec x"}/{\text"cot x + tan x"}$ equal to ?

a) cos x

b) sin x

c) tan x

d) cot x

Question : 12

What is the least value of (25 $cosec^2 x + sec^2$ x) ?

a) 36

b) 40

c) 26

d) 24

Question : 13

If tan x = 1, 0 < x < 90°, then what is the value of 2 sin x cos x ?

a) 1

b) $1/2$

c) ${√3}/2$

d) $√3$

Question : 14

$({sin 35°}/{cos 55°})^2 - ({cos 55°}/{sin 35°})^2$ + 2sin 30° is equal to

a) 0

b) –1

c) 1

d) 2

Question : 15

Which one of the following is correct?

a) There is more than one θ with 0° < θ < 90° such that sin θ = a, where a is a real number.

b) There is only one q with 0° < θ < 90° such that sin θ = a, where a is a real number.

c) There is no θ with 0° < θ < 90° such that sin θ = a, where a is a real number.

d) There are exactly θ's with 0° < θ < 90° such that sin θ = a, where a is a real number.