0
If tan theta equals 2, then the sides of the triangle could be -2, -1, and square root of 5 (I used the Pythagorean Theorem to get this). From this, sec theta is negative square root of 5. It is negative because theta is in the third quadrant, where cosine, secant, sine, and cosecant are all negative.
Still curious? Ask our experts.
Chat with our AI personalities
RossEvery question is just a happy little opportunity.
Chat with Ross
CoachSuccess isn't just about winning—it's about vision, patience, and playing the long game.
Chat with Coach
EzraFaith is not about having all the answers, but learning to ask the right questions.
Chat with Ezra
Add your answer:
Earn +20 ptsQ: What is sec theta if tan theta equals 2 with theta in quadrant 3?
Write your answer...
Submit
Still have questions?
Continue Learning about Trigonometry
What is sec squared theta times cos squared theta minus tan squared theta?
Tan^2
Tan equals 0.3421 sin equals 0.3237 Which quadrant does it terminate?
The value of tan and sin is positive so you must search quadrant that tan and sin value is positive. The only quadrant fill that qualification is Quadrant 1.
How do you find tan-theta when sin-theta equals -0.5736 and cos-theta is greater than 0?
-0.5736
How can you verify 1 plus tan theta divided by 1 minus tan theta equals cot theta plus 1 divided by cot theta minus 1?
It depends if 1 plus tan theta is divided or multiplied by 1 minus tan theta.
Given tan Theta equals negative 15 divided by 8 and 90 degrees is less than or equal to theta which is less than or equals to 180 state 5 other trigonometric ratios and determine the measure of theta?
sin(theta) = 15/17, cosec(theta) = 17/15 cos(theta) = -8/17, sec(theta) = -17/8 cotan(theta) = -8/15 theta = 2.0608 radians.
Trending Questions
What is the sine of 58 degrees?
How much is a 1969 Vietnamese 20 dong worth?
Why are angles important?
What does 90degrees celsius to the farehiet?
What does triquetra mean?
What is the difference of hightide and lowtide?
What is the reciprocal function of sin a?
How many squares of shingles do you need to cover 648 ft roof?
What does triset mean?
How many half steps are in a tritone?
What is the verb form of trap?
What is the proper amount of arc length when welding?
What is a vertices of the triangle?
What is the meaning of the triangular symbol?
What is the cosine of 32 degrees?
What is the cosine of zero?
Why is the range of motion in the shoulder greater than the hip?
How did Pythagoras kill his cult member?
What kinda traps are in the pyramids in Egypt?
What is triangulate data?
Copyright ©2025 Infospace Holdings LLC, A System1 Company. All Rights Reserved. The material on this site can not be reproduced, distributed, transmitted, cached or otherwise used, except with prior written permission of Answers.