Question

Evaluate the following:
(i) √2 sin 135º cos 210° tan 240° cot 300° sec 330°
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Answer 1

Answer:

1

Step-by-step explanation:

To find :

√2 sin 135º cos 210° tan 240° cot 300° sec 330°

Formula needed:

sin (180°- A) = sinA

cos (180°+ A) = - cosA

tan ( 180° + A) = tanA

cot ( 360° - A) = -cotA

sec (360° - A) = secA

Putting the values in formula :

sin135° = sin (180°- 45) = sin45° = 1/√2

tan240° = tan ( 180° + 60°) = tan60° = √3

cos210° = cos (180°+ 30°) = - cos30° = -√3/2

cot 300° = cot ( 360° - 60°) = - cot60° = -1/√3

sec330° = sec (360° - 30°) = sec30° = 2/√3

Solving:

√2 x (1/√2) x (-√3/2) x (√3) x (-1/√3) x (2/√3)

= 1