30 person stands 30 feet from point P and watches a balloon rise vertically from the point, as shown in the gure above. The balloon is rising at a constant rate of 2 feet per second. What is the rate of change, in radians er second, of angle 0 at the instant when the balloon is 40 feet above point P ? 3 3 5

Q: -4- -3- 2 -17 -0 --1- TT 2TT 3TT 4TT Use a sine function. Vertical Shift Amplitude Period Horizontal…

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Q: 5 Jennifer boards a Ferris wheel which has a diameter of 140 meters. The center of the wheel is 75…

A: The Ferris wheel rotates at a rate of 2π/25 radians per minute. Since one revolution is equal to 2π…

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A: Given: A straight road rises with an inclination of 0.15 radian from the horizontal. The slope is…

Q: tan2θ - sec2 θ =..............

A: The trigonometric identity is given by: sec2θ=1+tan2θ

Q: Sec(-150)

A:

Q: How many radians is 360°?

A: To convert degree to radian , multiply the given angle by (pi/180)

Q: An ascending space shuttle rises vertically from a launching pad. As it rises the shuttle is tracked…

A: Let us solve the problem in the next step.

Q: Solve for θ. csc(θ)=sec(3θ+10°)

A: The given question has been solved in detail

Ratios

A ratio is a comparison between two numbers of the same kind. It represents how many times one number contains another. It also represents how small or large one number is compared to the other.

Trigonometric Ratios

Trigonometric ratios give values of trigonometric functions. It always deals with triangles that have one angle measuring 90 degrees. These triangles are right-angled. We take the ratio of sides of these triangles.