Question

There are values of t so that the equation cost = 5/4 holds.
A: true
B: false

There are values of t so that sin t = 0.6 and cos t = 0.8
A: true
B: false

Answer 1

Answer on Question #57982 – Math – Trigonometry

Question

1. There are values of $t$ so that the equation cost = 5/4 holds.

A: true

B: false

Solution

There are no values of $t$ so that the equation cost = 5/4 holds, because

$$-1 \leq \cos(t) \leq 1$$

and

$$\frac{5}{4} > 1.$$

**Answer**: B: false.

Question

2. There are values of $t$ so that $\sin t = 0.6$ and $\cos t = 0.8$

A: true

B: false

Solution

There are values of $t$ so that $\sin t = 0.6$ and $\cos t = 0.8$, because $\sin t = 0.6$ and $\cos t = 0.8$ satisfy the Pythagorean identity:

$$(0.6)^2 + (0.8)^2 = 0.36 + 0.64 = 1$$

**Answer**: A: true.

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