Tanθ + cotθ = 1/sinθcos<span>θ
since we know that;
tan</span>θ = sinθ/cos<span>θ, and
cot</span>θ = cosθ/sin<span>θ
now when we add tan</span>θ and cot<span>θ and replace their values;
tan</span>θ + cot<span>θ=sin</span>θ/cosθ + cosθ/sin<span>θ
</span>For a common denominator to add those two fractions, the obvious choice is sinθ.cosθ , so
tanθ + cotθ = sin²θ/sinθcosθ + cos²θ/sinθcosθ =sin²θ + cos²θ / sinθcosθ
now we can use the identity that;
sin²θ + cos²θ = 1
So,
tanθ + cotθ = 1/sinθcosθ
Answer:
<h2>5.0in/sec</h2>
Step-by-step explanation:
proportional relationships have constant ratios.
the graph is a line, so it is a proportional relationship. (A)
the function is in the form y=kx (proportional function) (C)
Find the ratio of the tables: (B)
D
All represent a proportional relationship
The angle of measure 1 is equivocal to its adjacent angle, so M<1 = 39 degrees
Because the summation of all angles of a triangle need to be 180 degrees, we can find M<3. We have an angle of 39 degrees and a right angle which is 90 degrees.Therefore M<3 is equal to 51 degrees
