In right triangle ABC, ∠C is a right angle and sin A = sin B. What is m∠A? A. 30° B.45° C. 60° D. 75°

Mathematics

2 answers:

Juliette [100K]3 years ago

8 0

45 degrees has two equal angles

ruslelena [56]3 years ago

8 0

Answer:

Option B is correct.

Step-by-step explanation:

Given ∠C is a right angle in Δ ABC

sin A = sin B

To find: m∠A

Figure is attached.

Consider,

sin A = sin B

$\frac{CB}{AB}=\frac{CA}{AB}$ (using trigonometric ratio)

⇒ CB = CA

Δ ABC is isosceles right angled triangle,

using result, angles opposite to equal sides are equal in ΔABC.

we get,

∠A = ∠B

Now using angle sum property of triangle,

∠A + ∠B + ∠C = 180°

2∠A + 90 = 180

2∠A = 90

∠A = 45°

Therefore, Option B is correct.

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Find the exact value of each expression, if it defined. ( if answer is undefined, enter undefined) tan (-1)

Triss [41]

Answer:

$tan(-1) \approx -0.02$

Step-by-step explanation:

The given expression is

$tan(-1)$

The tangent of -1 is defined, it's around -0.02.

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However, at $x=-1$ , the tangent is determined, that means, there's no asymptote on that coordinate, that's why it has a "determined value", which is -0.02 approximately.