Evaluate : sec77∘cosec13∘− tan70∘cot20∘

sec77° cosec13° −tan70° cot20° =sec77° cosec(90°−77°) −tan70° cot(90°−70°) =sec77° sec77° −tan70° tan70° =1−1=0Hence, the answer is 0.

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Evaluate : , {cosec 13^{}}{ 77^{}} , - , { 20^{}}{ 70^{}}

Question

Evaluate : $\frac{cosec 1 3 ^{\circ}}{sec 7 7 ^{\circ}} - \frac{cot 2 0 ^{\circ}}{tan 7 0 ^{\circ}}$

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Evaluate :

\frac{cosec 1 3 ^{\circ}}{sec 7 7 ^{\circ}} - \frac{cot 2 0 ^{\circ}}{tan 7 0 ^{\circ}}

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\frac{cosec 13°}{sec 77°} - \frac{cot 20°}{tan 70°} = \frac{cosec ( 90° - 77° )}{sec 77°} - \frac{cot ( 90° - 70° )}{tan 70°}

= \frac{sec 77°}{sec 77°} - \frac{tan 70°}{tan 70°}

= 1 - 1

= 0

Hence, the answer is

0.

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Question Text	Evaluate : $\frac{cosec 1 3 ^{\circ}}{sec 7 7 ^{\circ}} - \frac{cot 2 0 ^{\circ}}{tan 7 0 ^{\circ}}$
Answer Type	Text solution:1
Upvotes	150