All Exams Test series for 1 year @ ₹349 only
Question

The value of cosec 41° - sec 49° is:

This question was previously asked in
SSC Selection Post 2023 Graduation Level Question Paper (30 Jun, 2023) (Shift 1)
The correct answer is

0

The correct answer is 0.

Simplify the Expression: Try to rewrite the expression using identities to make it simpler or to cancel terms out. Convert to Sine and Cosine: Sometimes, writing all terms in terms of sine and cosine can help in simplification. In this specific problem, recognizing that $41^\circ$ and $49^\circ$ are complementary angles and applying the $\text{cosec}/\text{sec}$ identity was the key to quickly finding the value of the expression.

Was this answer helpful?

Similar Questions

  1. If tan 3 θ = cot(θ - 22°), where 3 θ is an angle, find the value of θ.

  2. The value of cot (-315°) is :

  3. The value of \(\frac{\tan^2 (22^\circ - \theta)-\tan (\theta + 68^\circ)\ -\ \text{cosec}^2 (68^\circ + \theta)+\cot (22^\circ - \theta)} {3 (\cot^2 52^\circ - \sec^2 38^\circ)+ 2 (\text{cosec}^2 \ 28^\circ - \tan^2 62^\circ)}\)  is:

  4. The value of \(\frac{{{{\sec }^2}60^\circ {{\cos }^2}45^\circ \, + \,{\rm{cose}}{{\rm{c}}^2}30^\circ }}{{{{\sec }^2}45^\circ - \tan 45^\circ }}\)  is:

  5. The value of \(\sin^2\frac{2\pi}{3}+\cos^2\frac{5\pi}{6}-\tan^2\frac{3\pi}{4}\)  is :

  6. sinθ + cosec θ = 2, then the value of sin 99 θ + cosec 99 θ is:

  7. If cos θ = \(\frac{5}{13}\)  , what is the value of cot θ ?

  8. Determine the largest angle if the angles of a triangle are in the ratio 3 : 4 : 5.

  9. The value of the expression \(\rm \frac{4\sin^230^{\circ}+\cos^260^{\circ}-\tan^245^{\circ}}{2\sin60^{\circ}\cos30^{\circ}-\tan45^{\circ}}\)  is:

  10. If tan 15θ = cot 15θ (0° < θ < 10°) , then the value of θ is:


Important Questions from Circular Measure of Angles

  1. If tan 3 θ = cot(θ - 22°), where 3 θ is an angle, find the value of θ.

  2. 1 + tan 15° cot 75° is equal to:

  3. The value of cot (-315°) is :

  4. θ = 135°; γ = 15°.

    What is the value of 2 cos(θ) sin(γ)?

  5. If tan(90 – θ) = \(\frac{2}{\sqrt3}\), then the value of \(2\sqrt3\) tan θ + 1 is:

Need Expert Advice?
Upcoming Exams
SSC CPO
November 23, 2026
SSC CHSL
November 30, 2026
Test Series
SSC Selection Post img
SSC
SSC Selection Post (Graduation) (Phase 12) 2025 Mock Test Series
489 Tests 5 Tests Free
5493 Attempts
4.8(319)
English, Hindi
More Questions from SSC Selection Post

Start Your Preparation with Prepp Mobile App

Download the app from Google Play & App Store
Download the app from Google Play & App Store
Prepp Mobile App