Solve 19cos θ = 5 cos θ + 14 for all values of θ if θ is measured in radians.

Ф=xπ, x={0,+∞}

Step-by-step explanation:

be 19cosФ=5cosФ+14 → 19cosФ-5cosФ-14 → 14cosФ-14=0 → cosФ=1

then,  values for which cosФ=1 are Ф=0º=360º=720º, but the values of Ф  must be radians, so Ф=xπ, where x∈Z, not including the negative numbers,

x={0,1,2,3,∞}

Note: π≅3.141592

when calculating the values, it must be done in radian mode

mariah is studying the life cycle of the monarch butterfly. she must choose one stage in the cycle to present in science class: egg, caterpillar, chrysalis, or adult. she plans to make her choice randomly using a custom spinner divided into four sections. first, however, she spins the spinner 50 times to see the frequencies it generates.

stage times landed on

egg 10

caterpillar 12

chrysalis 15

adult 13

step-by-step explanation:

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