Finding the Trig Value Introduction,Examples with Step-by-Step Explanations

The problems about Finding the Trig Value

Topic	Problem	Solution
None	Jackie is standing at the edge of a $150 \mathrm{…	Let's denote the height of the cliff as $h = 150$ m, the angle of depression to the first ranger …
None	Question 2 Convert $17^{\circ} C$ to ${ …	Given the Celsius temperature as 17 degrees, we need to convert this to Fahrenheit. The formula to …
None	Let $θ$ be an angle in quadrant IV such that…	Let $θ$ be an angle in quadrant IV such that $\sin θ = - \frac{7}{10}$ . This means tha…
None	Let $θ$ be an angle in quadrant I such that …	Let $θ$ be an angle in quadrant I such that $\cos θ = \frac{5}{13}$ . We are asked to fi…
None	Find the exact value of $\csc \frac{π}{4}$ in s…	The cosecant function is defined as the reciprocal of the sine function. Therefore, to find the exa…
None	In which quadrant does $θ$ lie if the follow…	The cosecant function, $\csc θ$ , is negative in the third and fourth quadrants.
None	Use a cofunction to write an expression equal to …	Use the cofunction identity for tangent, which is $\tan (θ) = \cot (90^{\circ} - θ)$ .
None	Suppose $θ$ is in the interval $90^{\circ}<\…	Suppose $θ$ is in the interval $90^{\circ} < θ < 180^{\circ}$ . We need to find the sign of $\cot …
None	Find the exact value of each of the remaining tri…	We are given that $\sin θ = \frac{\sqrt{3}}{5}$ and $θ$ is in quadrant I.
None	Use a calculator to find a decimal approximation …	Convert the given angle from degrees and minutes to decimal degrees. We have 34 degrees and 30 minu…
None	Find the exact value of each of the six trigonome…	Given that $\sin θ = \frac{1}{\sqrt{5}}$
None	Solve the triangle. $a = 7, b = 6, C = 160^{\circ}$ …	We are given two sides and an included angle of a triangle. We can use the Law of Cosines to find t…
None	Solve the triangle. \[ a=8.817 \text { in } c=6.0…	We are given two sides and an included angle of a triangle. We can use the Law of Cosines to find t…
None	$\sin θ$ and $\cos θ$ are given. Find t…	We are given that $\sin θ = \frac{4}{5}$ and $\cos θ = - \frac{3}{5}$ .
None	Find the remaining five trigonometic functions of…	We know that $\cot θ = \frac{4}{3}$ , which is the reciprocal of $\tan θ$ . So, \(\tan \t…
None	6. The observation deck of the Skylon Tower in Ni…	Let T be the position of the tourist, A be the position of boat A, and B be the position of boat B.
None	\& Determine an angle between $90^{\circ}$ and $1…	\(\text{a) Since sine is positive in the second quadrant, we can find the angle using the arcsin fu…
None	PRACTICE Questions $Lesson 5.1$ 1.…	$Reciprocal trigonometric ratios are:$
None	Which of the following can be used to calculate t…	Calculate the height using the sine function: height = distance * sin(angle)
None	For positive acute angles $A$ and $B$ , it is know…	Given: $\cos A = \frac{21}{29}$ and $\tan B = \frac{15}{8}$