Bissoy.com
Doctors Medicines MCQs Q&A

If sec2 θ - sec θ = 1, then what is the value of tan12 θ - 3 tan10 θ + 3 tan8 θ - tan6 θ ?

If sec2 θ - sec θ = 1, then what is the value of tan12 θ - 3 tan10 θ + 3 tan8 θ - tan6 θ ? Correct Answer 1

According to equation,

sec2 θ - sec θ = 1 

1 + tan² θ = 1 + sec θ  

tan² θ = sec θ    ---- eq (1)

now Given

tan12 θ - 3 tan10 θ + 3 tan8 θ - tan6 θ = (tan⁴ θ - tan² θ)³

now put values from equation 1

(sec2 θ - sec θ)3 = 13 = 1

Related Questions

If sec2 θ - sec θ = 1, then what is the value of (tan12 θ - 3 tan10 θ + 3 tan8 θ - tan6 θ)?
In a 200 meters race, Rohan can give Rahul a 20 meters start and in a 36 km race Rahul can give Sanjay a 4 km start. If the speed of Rahul is 36 m/sec then what is the speed of Rohan in m/sec? A. 20 m/sec B. 40 m/sec C. 24 m/sec D. 50 m/sec
Six bells make a sound of tick together in the beginning and after every 5 sec, 10 sec, 15 sec, 20 sec, 18 sec, and 21 sec respectively. How many times will the bells ring together in 1.5 hours?
What is the simplified value of sec6 A - tan6 A - 3 sec2 A tan2 A?
Five bulls participate in a race, they started running simultaneously from a circular track. They took 100 sec, 200 sec, 300 sec, 400 sec, and 500 sec to complete one round. After how much time do they meet at the starting point for the first time?
একজন ছাত্র পরীক্ষাগারে অভিকর্ষজ ত্বরণের মান 9.88 m/sec2 নির্ণয় করন। অপর দিকে যখন সে 0.01 kg ভরের কোনো বাটখারাকে স্প্রিং নিক্তিতে ঝুলিয়ে দিল তখন 0.0980 N বল দেখাচ্ছে। তার পরীক্ষা অভিকর্ষজ ত্বরণের ত্রুটি নির্ণয় কর।(A student measured the value of acceleration due to gravity in the laboratory as 9.88 m/sec2. On the other hand, when he hanged a mass of 0.01 kg in the spring balance, then he found 0.0980 N force. Calculate the percentage of error in the measured value of the acceleration due to gravity.)
If ∠A and ∠B are complementary to each other, then the value of sec2A + sec2B - sec2A.sec2B is?
If tan 53° = 4/3, then, what is the value of tan8°?
If cos2 θ = (sec2 θ - tan2 θ) / (tan2 θ sec2 θ), where 0° < θ < 90°, then the value of tan2 θ + sec2θ.
What is the value of [sec θ/(sec θ - 1)] + [sec θ/(sec θ + 1)]?