whats the big doubt,
cot/tan+1= 1+1= 2
Until an "equals" sign shows up somewhere in the expression, there's nothing to prove.
The expression "cot theta = 1.5 sin theta" can be rewritten using the definitions of trigonometric functions. Since cotangent is the reciprocal of tangent, we have cot(theta) = cos(theta) / sin(theta). Therefore, the equation becomes cos(theta) / sin(theta) = 1.5 sin(theta), leading to cos(theta) = 1.5 sin^2(theta). This relationship can be used to find specific values of theta that satisfy the equation.
Since CotΘ = 1 / tanΘ, then tanΘ / cotΘ = tanΘ / (1/tanΘ) = tanΘ x tanΘ = tan²Θ
For a start, try converting everything to sines and cosines.
cot theta=tan(90-tetha)
It depends if 1 plus tan theta is divided or multiplied by 1 minus tan theta.
Yes, it is.
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).
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
It is -sqrt(1 + cot^2 theta)
Until an "equals" sign shows up somewhere in the expression, there's nothing to prove.
Cotan(theta) is the reciprocal of the tan(theta). So, cot(theta) = 1/2.
cosec(q)*cot(q)*cos(q) = 1/sin(q)*cot(q)*cos(q) = cot2(q)
-2(cot2theta)
Since CotΘ = 1 / tanΘ, then tanΘ / cotΘ = tanΘ / (1/tanΘ) = tanΘ x tanΘ = tan²Θ
For a start, try converting everything to sines and cosines.
cot theta=tan(90-tetha)