![If tan (8θ – 11°) tan (11θ – 13°) = 1, then find the value of tan10θ + cot5θ](https://www.gkseries.com/blog/wp-content/uploads/2024/03/If-tan-8θ-–-11°-tan-11θ-–-13°-1-then-find-the-value-of-tan10θ-cot5θ-.jpg)
If tan (8θ – 11°) tan (11θ – 13°) = 1, then find the value of tan10θ + cot5θ ?
Sol:
We know, if tanA. tanB = 1
Then, A + B = 90°
Now,
Tan(8θ – 11) . tan (11θ – 13) = 1
∴ 8θ – 11 + 11θ – 13 = 90
⇒ 19θ = 114
⇒ θ = 6
Now,Tan10θ + cot 5θ
![](https://www.gkseries.com/blog/wp-content/uploads/2024/03/image-101-1024x115.png)
If tan (8θ – 11°) tan (11θ – 13°) = 1, then find the value of tan10θ + cot5θ ?
Sol:
We know, if tanA. tanB = 1
Then, A + B = 90°
Now,
Tan(8θ – 11) . tan (11θ – 13) = 1
∴ 8θ – 11 + 11θ – 13 = 90
⇒ 19θ = 114
⇒ θ = 6
Now,Tan10θ + cot 5θ
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