tan(60°+a) x tan (30°-a) = ?
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Answer:
The answer will be 1.
Step-by-step explanation:
tan(60°+a) x tan (30°-a) = ?
tan θ = cot (90 - θ)
Thus, tan (30°-a) = cot (90 - (30°-a))
= cot (60 + a)
Now, cot θ = 1/ tanθ
Thus, cot (60 + a) = 1 / tan(60 + a)
Therefore, tan (30°-a) = 1 / tan(60 + a);
= tan(60°+a) x tan (30°-a)
= tan(60°+a) x 1/tan (60 + a)
= 1.
That's all.
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