Trigonometry overview Quiz 1

Question 1

Find the value of  $$\dfrac{\sin 6	heta +\sin 4	heta }{\cos 3	heta -\cos 7	heta }$$

Accepted Answer

$$\dfrac{	ext{cosec}	heta }{2}$$

Answer

$$	ext{cosec}	heta $$

Answer

$$\dfrac{\cot 	heta }{2}$$

Answer

$$\cot 	heta $$

Question 2

Find the value of $$\sqrt{\dfrac{1-\cos A}{1+\cos A}}+\sqrt{{{\sec }^{2}}A+\cos e{{c}^{2}}A}$$

Accepted Answer

$$	an A+	ext{cosec}A$$

Answer

$$	an A+\cot A$$

Answer

$$	an A-\cot A$$

Answer

$$	an A-	ext{cosec}A$$

Question 3

Assuming that a person of normal sight can read print at such a distance that the letters subtend an angle of   $${5}'$$  at his eye,find what is the height of the letters that he can read at a distance of $$12\,feet$$

Accepted Answer

$$\dfrac{1}{5}\,inch$$

Answer

$$\dfrac{1}{4}\,inch\,$$.

Answer

$$\dfrac{1}{7}\,inch$$

Answer

$$\dfrac{1}{6}\,inch$$

Question 4

Find the value of $$\dfrac{1-2\sin A}{1+2\sin A}$$

Accepted Answer

$$\dfrac{1-2\sin A}{\cos 2A-\dfrac{1}{2}}-1$$

Answer

$$\dfrac{1-2\sin A}{\cos 2A-1}$$

Answer

$$\dfrac{1-2\sin A}{\cos A-1}-1$$

Answer

$$\dfrac{1-2\sin A}{\cos A-\dfrac{1}{2}}-1$$

Question 5

If $$	an {{54}^{0}}=\lambda 	an {{18}^{0}}+\mu 	an {{36}^{0}}$$, then the value of $$\lambda +\mu $$ is

Accepted Answer

3

Answer

8

Answer

4

Answer

2