0

HETAV PATEL

Grade 11,

Courses New

Given: sec theta + tan theta =3, where theta belongs to (0,π/2). Find cos theta.

Given: sec theta + tan theta =3, where theta belongs to (0,π/2). Find cos theta.

Grade:11

1 Answers

Arun
25750 Points
5 years ago
Dear student
 
As we know
sec²@ - tan²@ = 1
(Sec@ + tan@)(sec@ - tan@) = 1
Hence sec@ - tan@ = 1/3
Now
2sec @ = 3 + 1/3 = 10/3
sec @ = 5/3
Hence cos @ = 3/5

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