Question

Without using T-Table, evaluate the following:
(i) 2. COS 67°/ sin 23°- tan 40°/ cot 50° - sin 43°/ cos 47°+ tan 15°. tan 25°.tan 60° tan 65° . tan 75°
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Answer 1

Answer:

$\sqrt{3}$

Or Tan60° ( explained below )

Step-by-step explanation:

In the first step, convert:

• Sin to cos {sin A = cos (90-A)}
• Cot to tan { same reason }
• Cos to sin { same reason }

Therefore, all the values will be cancelled out and you will be left with 0

Then convert:

• Tan 75° to Cot 15° { same reason as above}
• Tan 65° to Cot 15° { same reason as above}

Again, everything will be cancelled out.

And put the value of tan 60 ( if you want a numerical value) or else your answer is Tan60°.

Hope it helps you!

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