Find all values of $$\theta$$ in the interval $$\left[0\degree,\ 360\degree\right)\ $$ : $$\tan\theta=1$$

Determine which quadrant(s) based on the sign of the trig value, use the ratio to draw and label a triangle in the appropriate quadrant, determine the reference angle based on the triangle, find the angles based on the reference angle. Answer: $$\theta=$$ 45°, 225°

Find all values of $$\theta$$ in the interval $$\left[0\degree,\ 360\degree\right)\ $$ : $$\sin\theta=-1$$

Determine which quadrant(s) based on the sign of the trig value, use the ratio to draw and label a triangle in the appropriate quadrant, determine the reference angle based on the triangle, find the angles based on the reference angle. Answer: $$\theta=$$ 270°

Find all values of $$\theta$$ in the interval $$\left[0\degree,\ 360\degree\right)\ $$ : $$\cos\theta=-\frac{\sqrt[]{2}}{2}$$

Determine which quadrant(s) based on the sign of the trig value, use the ratio to draw and label a triangle in the appropriate quadrant, determine the reference angle based on the triangle, find the angles based on the reference angle. Answer: $$\theta=$$ 135°, 225°

Find all values of $$\theta$$ in the interval $$\left[0\degree,\ 360\degree\right)\ $$ : $$\cot\theta=-\sqrt[]{3}$$

Determine which quadrant(s) based on the sign of the trig value, use the ratio to draw and label a triangle in the appropriate quadrant, determine the reference angle based on the triangle, find the angles based on the reference angle. Answer: $$\theta=$$ 150°, 330°

Evaluate the following expression WITHOUT A CALCULATOR: $$\sin^2\ 300\degree-2\tan\ 135\degree\ +\ \csc90\degree$$

Draw a picture for each angle, use the reference angle to draw and label a triangle for each angle, use the triangle to find the correct trig ratio, evaluate the expression. Answer: $$\frac{15}{4}$$

M436 Review Flashcards Flashcards

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12 questions

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1.

FLASHCARD QUESTION

Front

Calculate sin A for the triangle with sides b = 5, c = 13.

Back

2.

FLASHCARD QUESTION

Front

Determine the quadrant for angle 240°, then find its reference angle.

Back

3.

FLASHCARD QUESTION

Front

Determine the quadrant for angle 315°, then find the reference angle.

Back

4.

FLASHCARD QUESTION

Front

Find the exact value of sin 240°.

Back

5.

FLASHCARD QUESTION

Front

Find the exact value of sec 225°.

Back

6.

FLASHCARD QUESTION

Front

Find the exact value of cot 90°.

Back

7.

FLASHCARD QUESTION

Front

Find the exact value of sin 150°

Back

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