Question

Evaluate without using tables sec theta cosec theta(90-theta) - tan theta cot theta

Answer 1

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⭐⭐⭐⭐⭐ ANSWER ⭐⭐⭐⭐⭐
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Here, I am holding the "THETAS" as "x".

So, sec x cosec (90°-x) - tan x cot x

= sec x . sec x - tan x . cot x

= sec²x - tan x . 1/tan x

=> sec²x - 1

=> tan²x [REQUIRED ANSWER]



*⃣*⃣*⃣ MUST TO OBSERVE *⃣*⃣*⃣


⏩ In the above solution, since we know cosec(90°-theta) = sec theta, so we had done that.


⏩ In the above solution, ". " doesn't mean full stop, instead it is used in algebric calculations as a sign for multiplication. I hope you already know this dear.


⏩ Cot theta means 1/tan theta. Since in this case I hold "THETAS" as "x", I wrote 1/tan x.




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⭐⭐⭐ ALWAYS BE BRAINLY ⭐⭐⭐

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