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## What is the value of sec theta?

the equation sec(theta)=-1 turns to **1/cos(theta)=-1**, which is equivalent to cos(theta)=-1. The only values of theta that satisfy this are theta=pi +2k pi for k in ZZ. If you prefer the notation with degrees: theta=180°+360°k for k in ZZ.

## Where is SEC θ undefined?

Trigonometric functions are undefined **when they represent fractions with denominators equal to zero**. Secant is the reciprocal of cosine, so the secant of any angle x for which cos x = 0 must be undefined, since it would have a denominator equal to 0.

### Given the Value of Secant Find the Angle

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## Where does sec equal 2?

Mathwords: Inverse Secant. The inverse function of secant. Basic idea: To find sec^{–}^{1} 2, we ask “what angle has secant equal to 2?” The answer is **60°**.

## How do you find the csc of an angle?

Cosecant Formula

Thus, the cosecant of angle α in a right triangle is **equal to the length of the hypotenuse c divided by the opposite side a**. To solve csc, simply enter the length of the hypotenuse and opposite side, then solve. This formula might look very similar to the formula to calculate sine.

## What is sec theta?

The reciprocal cosine function is secant: sec(theta)=**1/cos(theta)**. The reciprocal sine function is cosecant, csc(theta)=1/sin(theta).

## What is the value of sec theta 1?

The exact value of arcsec(1) is .

## What is the value of sec minus theta?

sec (- θ) = **sec θ**. cot (- θ) = – cot θ. Solved example: 1.

## What is sec formula?

The secant formula helps in finding out the hypotenuse, the length, and the adjacent side of a right-angled triangle. The formula is **sec θ = H/B**.

## What angles have an undefined secant?

In fact, the value returned by the secant function for an angle of either **ninety degrees or two hundred and seventy degrees** is considered to be undefined, since the equation sec (θ ) = ^{1}/_{cos} _{(}_{θ} _{)} will involve division by zero.

## What is value of cos 0 degree?

The value of cos 0 is **1**.

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## What value of Cos gives 0?

Degrees | Radians | cosine |
---|---|---|

60° | π/3 | 1/2 |

45° | π/4 | √2 / 2 |

30° | π/6 | √3 / 2 |

0° | 1 |

## What is the value of sec inverse 1?

sec−11= .

## What is the inverse of sec θ?

The inverse secant function – arcsec

So the inverse of sec is arcsec etc. When we see “**arcsec A**“, we interpret it as “the angle whose secant is A”.

## How do you find the sec 0 of a right triangle?

The sec of an angle in a right triangle is the ratio of the length of the hypotenuse to the length of the adjacent side. Secant can be easily replaced by cos x using the formula, **sec x = 1 / cos x**.

## How do you find csc from SEC?

The secant of x is 1 divided by the cosine of x: sec x = 1 cos x , and the cosecant of x is defined to be 1 divided by the sine of x: **csc x = 1 sin x** .

## How do you find the SEC of an angle on a calculator?

To find sec x, **first find value of cos x, then press 1/x**. To find csc x, first find value of sin x, then press 1/x.

## What is the value of SEC?

The value of **sec 360 degrees is 1**. Sec 360 degrees can also be expressed using the equivalent of the given angle (360 degrees) in radians (6.28318 . . .) ⇒ 360 degrees = 360° × (π/180°) rad = 2π or 6.2831 . . .

## Can the value of secant of an angle be greater than 1?

As hypotenuse is the largest side, the ratio on RHS will be greater than 1. Hence, **the value of sec A is always greater than or equal to 1**.

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## What is sec theta minus one?

Answer: secθ−1=(**√2–1)tanθ**

## What does Sec 2 theta equal?

a) | sin^{2}θ + cos^{2}θ |
1. |
---|---|---|

b) | 1 + tan^{2}θ |
sec^{2}θ |

c) | 1 + cot^{2}θ |
csc ^{2}θ |

a’) | sin^{2}θ |
1 − cos^{2}θ. |

cos^{2}θ |
1 − sin^{2}θ. |

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