Is square root 1 minus sine squared theta = cos Θ true? If so, in which quadrants does angle Θ terminate? False True; quadrants I & IV True; quadrants II & III True; quadrants I & III

Step-by-step explanation:

We know the relation between sine and cosine function which is given by

Let us solve this equation for cosine function.

Take square root both sides. When ever we take square root we need to write the solution in plus minus form

If Θ is in quadrants I and IV then the value will be positive and if Θ is in II and III quadrant then the value is negative.

Hence, if Θ is in quadrants I & IV, then we have

Thus, the correct option is: True; quadrants I & IV

The value Θ is in quadrants I and IV then the value will be positive then the correct option is True; quadrants I & IV.

A quadrant is a region defined by the two axes (x-axis and y-axis) of the coordinate system.

• The sin and cosine of any angle, α is positive in the first quadrant 0-90,

• Sine is positive in 90-180, and the cosine in the fourth quadrant 270-360.

The equation which shows the relation between sin and cos angle is;

Hence, If Θ is in quadrants I and IV then the value will be positive then the correct option is True; quadrants I & IV.

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Related Questions

(-27)^ -4/3= A. 81 B. 1/81OR C. no real number

(-27^ -4/3  =   1 / (-27)^4/3   = 1 / (-27^1/3)^4  = 1 / (-3)^4 =  1/ 81

Helen has 48 cubic inches of clay to make a solid square right pyramid with a base edge measuring 6 inches. Which is the slant height of the pyramid if Helen uses all the clay? 3 inches 4 inches 5 inches 6 inches

Step-by-step explanation:

Given: Volume of clay = 48 cubic inches

If we make a solid square right pyramid with a base edge a= 6 inches.

Then its base area =

we know that volume of square right pyramid=

Therefore, volume of square right pyramid made by all of clay==48 cubic inches

Now, slant height

The slant height of the pyramid if Helen uses all the clay=5 inches

The correct answer would be 5 inches.

Step-by-step explanation:

Choose the slope _intercept form of 3x+2y=5

Step-by-step explanation:

3x+2y=5

2y=5-3x

y=5/2-3/2x

Or you can write as:

y=2.5-1.5x

Find the area of a sector whose radius is 21 cm and whose central angle is 30 degrees