Trigonometry vocabulary Quiz 1

Question 1

Find the value of $$\dfrac{2-{{\cos }^{2}}	heta }{{{\sin }^{4}}	heta +{{\sin }^{2}}	heta }-\dfrac{{{\cot }^{2}}	heta -1}{1-{{	an }^{2}}	heta }$$

Accepted Answer

1

Answer

2

Answer

0

Answer

3

Question 2

If $$x >1$$ is one of the roots of the equation $$3{{	an }^{2}}	heta -11	an 	heta +6=0$$. Then find the value of $${{x}^{2}}-x+3$$

Accepted Answer

9

Answer

2

Answer

0

Answer

1

Question 3

If $$x=\dfrac{\sin 	heta 	an 	heta }{1-\cos 	heta }-1$$and$$2y=\dfrac{\sin 2	heta }{1-{{\sin }^{2}}	heta }$$. Then find the value of $${{x}^{2}}-{{y}^{2}}$$

Accepted Answer

1

Answer

-1

Answer

0

Answer

2

Question 4

Find $$\dfrac{\sin {{2}^{0}}\cos {{6}^{0}}+\cos {{2}^{0}}\sin {{6}^{0}}}{\sin {{12}^{0}}+\sin {{4}^{0}}}$$

Accepted Answer

$$\dfrac{1}{2}\sec {{4}^{0}}$$

Answer

$$\sec {{4}^{0}}$$

Answer

$$\cos {{4}^{0}}$$

Answer

$$\dfrac{1}{2}\cos {{4}^{0}}$$

Question 5

Find the value of $${{\sin }^{-1}}\left( \dfrac{3}{5} \right)-{{\cos }^{-1}}\left( \dfrac{63}{65} \right)$$

Accepted Answer

$$2{{	an }^{-1}}\dfrac{1}{5}$$

Answer

$${{	an }^{-1}}\dfrac{1}{5}$$

Answer

$${{\cot }^{-1}}\dfrac{1}{5}$$

Answer

$$2{{\cot }^{-1}}\dfrac{1}{5}$$