Question

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Evaluate cosec 39° sec 51° -- tan 51º. cot 39º.
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Answer 1

Cosec 39° . Sec 51° - tan 51 ° . cot 39°

1/sec 51 × sec 51 - 1/cot 39 × cot 39

1 - 1 ===> 0

Answer 2

Answer:

1.77388

Step-by-step explanation:

To answer this question we need to breakdown the complex trigonometric ratios as follows :

Sec x = 1/Cos x

Cosec x = 1/Sin x

Cot x = 1/Tan x

Rewriting the question we have :

1/Sin 39 × 1/Cos 51 - Tan 51 × 1/Tan 39

Sin 39 = 0.5750

Cos 51 = 0.6959

Tan 51 = 1.0319

Tan 39 = 0.7028

We substitute as follows :

1/0.5750 × 1/0.6959 - 1.0319 × 0.7028

= 2.4991 - 0.72522

= 1.77388

The answer is thus given as :

1.77388