Question

if sin theta + cos theta = root 2 then find tan theta + cot theta

Answer 1

as it is given that sinx + cosx= √2
now squaring both the sides you will get
sin^2x + cos^2x + 2sinxcosx=2
1+2sinxcosx=2
sinx cosx=1/2
now the question that is to find the value of tanx + cotx
first convert them into sin and cos
after converting them the numerator will be equal to 1 and denominator will be sinx cosx
which is equal to 1/2
therefore the answer will be 2

Answer 2

Answer:

as it is given that sinx + cosx= √2

now squaring both the sides you will get

sin^2x + cos^2x + 2sinxcosx=2

1+2sinxcosx=2

sinx cosx=1/2

now the question that is to find the value of tanx + cotx

first convert them into sin and cos

after converting them the numerator will be equal to 1 and denominator will be sinx cosx

which is equal to 1/2

therefore the answer will be 2

Step-by-step explanation: