0

HETAV PATEL

Grade 11,

Courses New

If Secent theta+tan theta=1/5 then sin theta is equal to dash

If Secent theta+tan theta=1/5 then sin theta is equal to dash

Grade:12th pass

1 Answers

Arun
25750 Points
6 years ago
Dear student
 
It becomes on simplifying that
(1 + sin@)/ cos@= 1/5
Now let  sin@ = x
Hence
 
5(1+x) = \sqrt(1 -x²)
On squaring
 
25(1 +x)² = 1 -x²
25 + 25x² + 50x= 1 -x²
26x² + 50x  +24 = 0
26 x² + 26x + 24 x +24 = 0
(26x +24) (x+1) = 0
x = -1 (not possible)
And x = -24/26
 
Regards
Arun (askIITians forum expert)

Think You Can Provide A Better Answer ?

Other Related Questions on Trigonometry

View all Questions »

ASK QUESTION

Get your questions answered by the expert for free

Answer and earn gift vouchers

Win Gift vouchers upto Rs 500/-

View courses by askIITians

Design classes One-on-One in your own way with Top IITians/Medical Professionals

Click Here Know More

Complete Self Study Package designed by Industry Leading Experts

Click Here Know More

Live 1-1 coding classes to unleash the Creator in your Child

Click Here Know More

a Complete All-in-One Study package Fully Loaded inside a Tablet!

Click Here Know More