Question

If tan a = 3 and tan B √ 1/3
0 <a B < 90° find the value of cot (a + b)​

Answer 1

Answer:

cot(1/20)

Step-by-step explanation:

Tan b = 1/√3

tan b= 30°

therefore, cot b = 1/ tan b

cot b= 1/30°.... eqn 1

Tan a=√3

tan a = 60°

therefore,

cot a=1/60°......eqn 2

now cot a + cot b

= cot(a+b)

= cot(1/60+1/30)

=cot(3/60)

= cot(1/20)

(OR)

tan = 20°

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