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Q: Tan theta plus cot theta equals 2csc2 theta?

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It depends if 1 plus tan theta is divided or multiplied by 1 minus tan theta.

It also equals 13 12.

tan2(theta) + 5*tan(theta) = 0 => tan(theta)*[tan(theta) + 5] = 0=> tan(theta) = 0 or tan(theta) = -5If tan(theta) = 0 then tan(theta) + cot(theta) is not defined.If tan(theta) = -5 then tan(theta) + cot(theta) = -5 - 1/5 = -5.2

Yes. (Theta in radians, and then approximately, not exactly.)

Cotan(theta) is the reciprocal of the tan(theta). So, cot(theta) = 1/2.

0.75

copy this and paste in your browsers address window http://www.wolframalpha.com/input/?i=tan+theta+%2B+sec+theta+%3D1

I assume. Since theta is a variable, standing for the measure of any angle.

whats the big doubt,cot/tan+1= 1+1= 2

I'm asuming you meant "ten theta"the square of 5 is 2525 divided by 10 is 2.5so theta equals 2.5there you go =)

tan (theta x theta) : must square the value of the angle, theta, before applying the trig function, tangent.

4

Tan theta is a function of the number theta.

tan(theta) = 1 then theta = tan-1(1) + n*pi where n is an integer = pi/4 + n*pi or pi*(1/4 + n) Within the given range, this gives theta = pi/4 and 5*pi/4

Tan^2

If tan theta equals 2, then the sides of the triangle could be -2, -1, and square root of 5 (I used the Pythagorean Theorem to get this). From this, sec theta is negative square root of 5. It is negative because theta is in the third quadrant, where cosine, secant, sine, and cosecant are all negative.

It is 100*tan(theta).

Let x = theta, since it's easier to type, and is essentially the same variable. Since tan^2(x)=tan(x), you know that tan(x) must either be 1 or zero for this statement to be true. So let tan(x)=0, and solve on your calculator by taking the inverse. Similarly for, tan(x)=1

Since sin(theta) = 1/cosec(theta) the first two terms simply camcel out and you are left with 1 divided by tan(theta), which is cot(theta).

4

-2(cot2theta)

sin(theta) = 15/17, cosec(theta) = 17/15 cos(theta) = -8/17, sec(theta) = -17/8 cotan(theta) = -8/15 theta = 2.0608 radians.

-0.5736

4

Negative 1.047197551 etc, etc.