Question

Which of the following is incorrect (theta is an acute angle)
A) tan theta is equal to 3
B) sin theta is equal to 3
C) sec theta is equal to 3
D) cot theta is equal to 3​
please help

Answer 1

Answer:

option D

Step-by-step explanation:

As tan theta equals 3 so cot theta equals 1/3

Answer 2

Final Answer:

Among the following trigonometric values for $\theta$ is an acute angle,

A) $tan \theta$ is equal to 3

B) $sin \theta$ is equal to 3

C) $sec \theta$ is equal to 3

D) $cot \theta$ is equal to 3​

The incorrect trigonometric value is option B stating that $sin \theta$ is equal to 3.

Given:

The following are given. ($\theta$ is an acute angle)

A) $tan \theta$ is equal to 3

B) $sin \theta$ is equal to 3

C) $sec \theta$ is equal to 3

D) $cot \theta$ is equal to 3​

To Find:

Which of the following is incorrect ($\theta$ is an acute angle)

A) $tan \theta$ is equal to 3

B) $sin \theta$ is equal to 3

C) $sec \theta$ is equal to 3

D) $cot \theta$ is equal to 3​

Explanation:

Have a look at the following important points.

• An acute angle lies between the values of $0\textdegree$ and $90\textdegree$.
• The value of $sin0\textdegree =0$.
• The value of $sin90\textdegree =1$.
• The value of $cos0\textdegree =1$.
• The value of $cos90\textdegree =0$.
• The value of $tan0\textdegree =0$.
• The value of $cos90\textdegree =0$.
• The value of$sec0\textdegree =1$.

Step 1 of 2

Among the given trigonometric values for $\theta$ is an acute angle,

• The statement $tan \theta$ is equal to 3, is valid, as the corresponding acute angle $\theta$ exists.

• The statement $sin \theta$ is equal to 3, is invalid, as it does not exist.

• The statement  $sec \theta$ is equal to 3, is valid, as the corresponding acute angle $\theta$ exists.

• The statement  $cot \theta$ is equal to 3​, is valid, as the corresponding acute angle $\theta$ exists.

Step 2 of 2

Again the following supports that the statement $sin \theta$ is equal to 3, is invalid or incorrect.

$tan^{-1}3=71.57\textdegree\\sec^{-1}3=70.53\textdegree\\cot^{-1}3=18.43\textdegree$

Therefore, the required incorrect trigonometric value is option B stating that $sin \theta$ is equal to 3, among the trigonometric values for $\theta$ is an acute angle, such as $tan \theta$ is equal to 3,  $sin \theta$ is equal to 3,  $sec \theta$ is equal to 3, and $cot \theta$ is equal to 3​.

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