Solving Trigonometric Equations Effectively

The video tutorial covers solving trigonometric equations involving tangent inverse, cosine, and cotangent. It begins with an introduction and warm-up, followed by a detailed explanation of finding the tangent inverse of negative square root of three. The lesson then progresses to solving for cosine B in a trigonometric equation, and concludes with solving for theta using cotangent and tangent. The tutorial emphasizes understanding the quadrants where trigonometric functions are positive or negative and using reference angles to find solutions.

In which quadrants does the inverse tangent function exist?

• Quadrants III and IV

• Quadrants I and IV

• Quadrants II and III

• Quadrants I and II

What is the angle associated with the tangent of the square root of 3?

• 90 degrees

• 45 degrees

• 60 degrees

• 30 degrees

What is the result of tangent inverse of negative square root of three?

• -60 degrees

• -30 degrees

• -45 degrees

• -90 degrees

What is the sum of 7 cosine B and 3 cosine B?

• 9 cosine B

• 11 cosine B

• 4 cosine B

• 10 cosine B

What is the value of cosine B after simplifying the equation?

• -1/4

• 1/2

• 1/4

• -1/2

What is the cosine inverse of -1/4?

• 45 degrees

• 75.5 degrees

• 60 degrees

• 104.5 degrees

What are the two angles that satisfy the cosine condition from 0 to 360 degrees?

• 45 degrees and 225 degrees

• 75.5 degrees and 180 degrees

• 60 degrees and 240 degrees

• 104.5 degrees and 255.5 degrees

What is the reference angle used to find the additional solutions in the cosine problem?

• 75.5 degrees

• 104.5 degrees

• 60 degrees

• 45 degrees

What is the inverse of cotangent Theta when it equals -5/3?

• Tangent Theta = 5/3

• Tangent Theta = -3/5

• Tangent Theta = 3/5

• Tangent Theta = -5/3

What are the angles for Theta between 0 and 360 degrees that satisfy the tangent condition?

• 329 degrees and 149 degrees

• 320 degrees and 150 degrees

• 310 degrees and 130 degrees

• 340 degrees and 160 degrees