Question

ପ୍ରମାଣ କର :

(iv) tan (x + y) - tan x - tan y = tan (
(v) (1 + tan 15°) (1 + tan 30°) = 2
(vi) (cot 10° - 1) (cot 35° -1) = 2
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Answer 1

Step-by-step explanation:

(v) (1 + tan 15°) (1 + tan 30°) = 2

LHS= {1+(√3-1/√3+1)}{1+(1/√3)}

{2√3/(√3+1)}{(√3+1)/√3}

2√3/√3=2=RHS

(vi) (cot 10° - 1) (cot 35° -1) = 2

=cot10.cot35 - (cot10 + cot35) + 1

=(cos10.cos35/sin10.sin35) -

(sin(10+35))/sin10.sin35) + 1

=(cos25 - sin45)/2sin35.sin10 + 1

=1 +1

=2