Evaluate:
cos 300°.cot 300°.tan−420°/
sin135°.sec 225°.cosec240°
Answers
Step-by-step explanation:
Please find the attachment and hope it helps u.
Given : cos 300° . Cot 300° . Tan (-420°) / Sin 135°. Sec 225° . cosec 240°
To Find : Evaluate
Solution:
cos 300° = Cos(-60°) = Cos 60° = 1/2
Cot 300° = Cot (-60°) = - cot60° = - 1/√3
Tan (-420°) = tan(-60°) = - tan60° = -√3
cos 300° . Cot 300° . Tan (-420°) = (1/2) (- 1/√3)(√3) = 1/2
Sin 135° = Sin 45° = 1/√2
Sec 225° = - sec 45° = -√2
cosec 240° = -cosec 60° - 2/√3
Sin 135°. Sec 225° . cosec 240° = (1/√2)( -√2)(- 2/√3) = 2/√3
cos 300° . Cot 300° . Tan (-420°) / Sin 135°. Sec 225° . cosec 240°
= (1/2) / (2/√3)
= √3/4
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