TRIGONOMETRIC IDENTITIES / PROVING

Which of the following is NOT an example of an Expression?

• 2 + 1

• sin x - cos x + 2

• 9 = x

• 4x - 3y

Which of the following is NOT an Identity under Reciprocal Identity?

• $\csc\theta\ =\ \frac{1}{\sin\theta}$

• $\sec\theta\ =\ \frac{1}{\cos\theta}$

• $\tan\theta\ =\ \frac{\sin\theta}{\cos\theta}$

• $1\ =\ \cot\theta\tan\theta$

Which of the following is NOT true.

• Trigonometric Expressions are expressions that involves Trigonometric functions.

• Trigonometric Identities are used in proving Identities along with the skills in manipulating algebraic expressions.

• Proving Identity is same as solving Trigonometric Equztion.

• The fundamental identities may be proved using tRIGONOMETRIC fUNCTIONS.

 $Simplify\ \frac{1\ +\ \tan^2\theta}{\csc^2\theta}$  

•  $\cos^2\theta$  
  

•  $\sin^2\theta$   

•  $\tan^2\theta$  

•  $1$  

Which of the following value will satisfy the given trigonometric equation?

 $3\cos^2x\ +\ \sin x\ +\ 1\ =\ 0$  

• 90 degrees

• 180 degrees

• 270 degrees

• 360 degrees

Which is NOT a strategy in proving identities.

• Know the fundamental Identities

• write expressions in terms of sine and cosine function.

• Use the trigonometric function to prove the identities.

• Perform algebraic operations.

 $\sin2x\ =\ \sqrt{3}\cos x$  
The equation above is verified by the folowing measure EXCEPT for ?

• 90 degrees

• 120 degrees

• 270 degrees

• 300 degrees

 $Simplify\ \frac{\sin^2x}{\sec^2-1}$  

•  $\sin^2x$  

•  $\cos^2x$  

• 0

• 1

Which of the following should be written in Item number 1.

• 1

• $\frac{\sin x}{\sin x}$

• $\frac{\cos x}{\cos x}$

• $\frac{\cos x}{\sin x}$

Which of the following should be written in Item number 2.

• cos x - 1

• 1- cos x

• sinx - cos x

• 1 - sin x