If tanA + secA = 4 then find secA + cosA

Its from sample examination papers
in Trigonometry Answers by

Your answer

Your name to display (optional):
Privacy: Your email address will only be used for sending these notifications.
Anti-spam verification:
To avoid this verification in future, please log in or register.

1 Answer

We know the expression sec^2A-tan^2A=1 using this equation. Given secA+tanA=4 . . (1) (secA+tanA)(secA-tanA)=1 (4)(secA-tanA)=1 (from eq.1) secA-tanA=1/4 . . .(2) Solving eq.1 & eq.2 We get SecA=9/8 & cosA=1/secA=8/9 SecA+cosA=9/8+8/9=145/72. That's it!
by

Related questions

2 answers
(secA-cosA)(cosecA-sinA)=tanA/1+tan^2A
asked May 7, 2013 in Trigonometry Answers by anonymous | 2.3k views
1 answer
sinA/(1-cosA) +tanA/(secA+1)=secA.cosecA+cotA
asked Mar 1, 2013 in Trigonometry Answers by anonymous | 1.9k views
1 answer
(cotA-tanA)sinA=2cosA-secA
asked Nov 28, 2013 in Trigonometry Answers by Shwe | 2.0k views
1 answer
prove that tanA+secA-1/tanA-secA+1
asked Jun 27, 2013 in Trigonometry Answers by anonymous | 979 views
1 answer
IF 8SEC=7,SINA,TANA AND COSA
asked Jun 1, 2013 in Trigonometry Answers by anonymous | 591 views
1 answer
cosecA-secA=(root5)/2 THEN VALUE of cosA - sinA
asked Aug 24, 2016 in Trigonometry Answers by cosecA-secA=(root5)/2 THEN VALUE of cosA | 2.3k views
2 answers
if sinA -cosA = 1/2 then find sinA+cosA
asked Sep 20, 2013 in Trigonometry Answers by anonymous | 3.7k views
1 answer
sin A-cos A=0,then the value of (4sinA+4 cosA)
asked Sep 10, 2012 in Trigonometry Answers by anonymous | 783 views
1 answer
sin A-cos A=0,then the value of (4sinA+4 cosA)
asked Sep 10, 2012 in Trigonometry Answers by anonymous | 1.9k views
1 answer
Prove(1-cosA)(1+secA)=sinAtanA
asked Aug 16, 2015 in Trigonometry Answers by Abdullaah | 689 views
1 answer
Prove(1-cosA)(1+secA)=sinAtanA
asked Dec 7, 2012 in Trigonometry Answers by anonymous | 2.0k views
Welcome to MathHomeworkAnswers.org, where students, teachers and math enthusiasts can ask and answer any math question. Get help and answers to any math problem including algebra, trigonometry, geometry, calculus, trigonometry, fractions, solving expression, simplifying expressions and more. Get answers to math questions. Help is always 100% free!

Most popular questions within the last 3000 days

  1. 50+50-25X0+2+2= (19)
  2. it takes 10 road workers 5 days to complete a road repair when working 2 hours a day.Working at the same pace,how many days will it take 2 people working 5 hours a day to finish it? (3)
  3. Solve 15 -1(12÷4+1)? (4)
  4. 8:4(5+2) (3)
  5. How can i represent 1/3; 3/3; 7/3; 10/3 and 15/3 on a number line? (1)

Most popular tags

87,516 questions
100,328 answers
2,420 comments
755,119 users