Trigonometric Ratio(sin,cos,tan)

Q.

$△PQR$, right-angled at Q, if PR=24cm, QR=12cm, then find the value of $\angle QRP$.

1. ${30}^o$

2. ${60}^o$

3. ${45}^o$

4. ${90}^o$

Q.

In a right angled triangle ABC (right angled at B)

The value of tan A tan C=__

Q. Choose the correct option.
$\frac{2tan30^0}{1+ta{n}^2{30}^0}=$

1. $cos{60}^{\circ }$
2. $sin{60}^{\circ }$
3. $tan{60}^{\circ }$
4. $sin{30}^{\circ }$

Q.

In $△$ PQR, right angled at Q, PR + QR = 25 cm and PQ = 5 cm. Determine the value of cos R.

1. $\frac{12}{13}$

2. $\frac{5}{12}$

3. $\frac{15}{12}$

4. $\frac{5}{13}$

Q.

In triangle ABC, right-angled at B, if sin A =$\frac{12}{13}$, then find the value of

(sinA cosA + sinC cosC ).

1. $\frac{13}{12}$

2. $\frac{120}{169}$

3. $\frac{60}{169}$

4. $\frac{12}{13}$

Q. Which of the following trigonometric ratios will have the same value as cot ${53}^{\circ }$?

1. $sin{65}^{\circ }$
2. $tan{47}^{\circ }$
3. $tan{37}^{\circ }$
4. $cosec{37}^{\circ }$

Q.

$3\tan \theta$ + $\cot \theta$ = 5cosec$\theta$. Solve for $\theta$, $0\le \theta \le 90$.

__

Q.
In the figure given above, what is the value of $tan\theta$ in terms of a, b and c?

1. $\frac{b}{a}$
2. $\frac{a}{b}$
3. $\frac{b}{c}$
4. $\frac{c}{a}$

Q.

In a right angled triangle, as shown below, if AB=3 cm, BC=4 cm then what is the value of cos A?

1. $\frac{4}{5}$

2. $\frac{3}{4}$

3. $\frac{2}{3}$

4. $\frac{3}{5}$

Q. A right angled triangle $\Delta ABC$ is right angled at C with sides AB = 10 cm and AC = 6 cm. Find cosine of $\angle$B.

1. $\frac{4}{5}$
2. $\frac{3}{5}$
3. $\frac{7}{10}$
4. $\frac{6}{10}$