Trigonometry Questions

If tan(
2
A
​
)=x, then the value of x is:

If cot(−
3
4π
​
)=x, then the value of x is:

If
(secA−1)
2

tan
2
A
​
=x, then the value of x is:

$\cos (A+B)+\cos (A-B)$ is equal to:

2sec
2
A is equal to:

cos3A is equal to:

What is the value of sin(
3
5π
​
)?

In a right-angled triangle, the length of the side opposite the right angle is 9
3

​
cm. What is the length of the side opposite to the angle which measures 30
∘
?

$\frac{1}{\tan A+\cot A}$ is equal to:

What is the value of $\csc \left(\frac{11\pi }{6}\right)$?

If 8tanA=5, what is the value of
8sinA+11cosA
8sinA−7cosA
​
?

$△DEF$ is right-angled at $E$. If $\cot D=\frac{8}{15}$, then what is the value of $\cot F$?

What is the value of $(\sqrt{3}-\sec 60^{\circ })$?

In △PQR, the measure of angle Q is 90
∘
. If tanP=
3
4
​
and PQ=1.5cm, then what is the length (in cm) of side PR?

△XYZ is right-angled at Y. If m∠Z=45
∘
, then find the value of (
3

​

cscX−2
​
).

If
1+cosA
1−cosA
​
=x, then the value of x is:

If cot(
2
A
​
)=x, then the value of x is:

If csc(−
3
4π
​
)=x, then the value of x is: