Trignometry

Quantitative Aptitude ( CCS)

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The value of (sin 39°) / (cos 51°) + 2 tan11° tan31° tan45° tan59° tan79° – 3 (sin² 21° + sin² 69°) is :

-1

Explanation:

(sin 39°) / (cos 51°) + 2 tan11° tan31° tan45° tan59° tan79° – 3 (sin² 21° + sin² 69°)
(sin 39°) / (sin 39°) + 2 tan 11° cot 11° tan 31° cot 31° tan 45° – 3(sin² 21° + cos² 21°)
[? cos (90° – Θ) = sin Θ, tan (90° – Θ) = cot Θ & sin (90° – Θ) = cos Θ]
= 1 + 2 × 1 × 1 × 1 – 3 × 1
[ ? tan Θ cot Θ = 1, tan 45° = 1 & sin² Θ + cos² Θ = 1 ]
= 1 + 2 – 3 = 0

By: Amit Kumar

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