Given that cosθ=7/25 , what is sinθ ?

Mathematics

1 answer:

Viefleur [7K]2 years ago

5 0

Answer:

sin(θ) = 24/25

Step-by-step explanation:

We can easily solve this problem by applying the trigonometric identity

sin(x) ^2 + cos(x) ^2 = 1

In this case

sin(θ) ^2 + cos(θ) ^2 = 1

sin(θ) ^2 = 1 - cos(θ) ^2

sin(θ) ^2 = 1 - (7/25) ^2

sin(θ) ^2 = 1 - (49/625)

sin(θ) ^2 = 576/625

sin(θ) = √( 576/625)

sin(θ) = 24/25

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What is the length of side AB of parallelogram ABCD? units 4g - 8 B q+4

Andrews [41]

Answer:

8 units

Step-by-step explanation:

» Concepts

Parallelogram Side Theorem states that the opposite sides of a parallelogram are congruent, meaning they have the same length.

» Application

In this case, we're asked to apply the theorem to find the value of q and then find the length of AB. Thus, we have to set up the equation 4q - 8 = q + 4.

» Solving

Step 1: Subtract q from both sides.

$4q-8-q=q+4-q$
$3q-8=4$

Step 2: Add 8 to both sides.

$3q-8+8=4+8$
$3q=12$

Step 3: Divide both sides by 3.

$3q/3 = 12/3$
$q=4$

Step 4: Plug in the value of q for side AB.

$4(4)-8$
$16-8$
$8$

Therefore, the answer is 8 units.

6 0

1 year ago

Need help it’s easy

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