Question

sine alpha , cos alpha and tan alpha are in geometric progression. what is the next term​

Answer 1

Answer:

The solution is 1.

Step-by-step explanation:

⁡cos  

2

α=sinαtanα

cos  

3

α=sin  

2

α

cos  

6

α=sin  

4

α

cot  

6

α−cot  

2

α

⇒  

sin  

6

α

cos  

6

α

​  

−cot  

2

α

⇒  

sin  

2

α

1

​  

−  

sin  

2

α

cos  

2

α

​  

=  

sin  

2

α

1−cos  

2

α

​  

=  

sin  

2

α

sin  

2

α

​  

=1