Angle a +angle b = 180 degrees
angle a + angle a + 30 = 180
2*angle a = 150
angle a = 75degrees
angle b = 75+30 = 105 degrees
now, angle b +angle c = 180
so, angle c = 180-105 = 75 degrees

6 0

3 years ago

Which of these is a complex number? <br><br> A. <br><br> B. <br><br> C. <br><br> D.

Step2247 [10]

Answer:

option D

$\frac{8}{3} + \sqrt{\frac{-7}{3} }$

Step-by-step explanation:

Given in the question are 4 number

5√1/3 - $\frac{9}{\sqrt{7} }$

2 - $\frac{1}{\sqrt{11} }$

9 + $3\sqrt{\frac{5}{2} }$

$\frac{8}{3} + \sqrt{\frac{-7}{3} }$

A Complex Number is a combination of a Real Number and an Imaginary Number

<h3>Example </h3>

a + ib

where a is real number

b is imaginary number

i is 'lota' which is √-1

<h3>So according to the definition above </h3>

$\frac{8}{3} + \sqrt{\frac{-7}{3} }$ is complex number in which

$\frac{8}{3}$ is real part

$\sqrt{\frac{7}{3} } \sqrt{-1}$ = $\sqrt{\frac{7}{3} } i$ is the imaginary part

7 0

3 years ago

Can you fill in the missing words?

bulgar [2K]

The inverse functions of sine, cos and tan functions are csc, sec and cot respectively.

<u>Step-by-step explanation:</u>

The reciprocals of sine, cos and tan functions are csc, sec and cot functions. The reciprocal of cosine function is secant, (sec) sec θ = $$\frac{1}{cos \theta}$

The inverse or reciprocal function is cosecant (csc), $$ csc \theta = \frac{1}{sin\theta}$

The inverse tangent function is cotangent (cot) , expressed in two ways: $$ cot\theta = \frac{1}{tan\theta}$ or $$ cot\theta = \frac{cos\theta}{sin \theta}$

So $$ tan\theta = \frac{sin \theta}{cos \theta}$ then its reciprocal or inverse is termed as cot θ.

6 0

3 years ago