English
Maharashtra State BoardSSC (English Medium) 10th Standard

If sec θ = 12, what will be the value of cos θ?

Advertisements
Advertisements

Question

If sec θ = `1/2`, what will be the value of cos θ?

Options

  • 2

  • 1

  • 3

  • 5

MCQ
Advertisements

Solution

2

Explanation:

Given: sec θ = `1/2`

Since, sec θ = `1/cosθ`

∴ `1/2 =  1/cosθ`

⇒ cos θ = 2

Thus, the value of cos θ is 2.

shaalaa.com
  Is there an error in this question or solution?
2025-2026 (March) Model set 1 by shaalaa.com

RELATED QUESTIONS

If cot θ = `7/8`, evaluate cot2 θ.


State whether the following are true or false. Justify your answer.

sec A = `12/5` for some value of angle A.


State whether the following are true or false. Justify your answer.

sin θ = `4/3`, for some angle θ.


If `cos θ = 12/13`, show that `sin θ (1 - tan θ) = 35/156`.


If `cot theta = 1/sqrt3` show that  `(1 - cos^2 theta)/(2 - sin^2  theta) = 3/5`


if `tan theta = 12/13` Find `(2 sin theta cos theta)/(cos^2 theta - sin^2 theta)`


If `sin theta = a/b` find sec θ + tan θ in terms of a and b.


If `tan θ = 20/21` show that `(1 - sin theta + cos theta)/(1 + sin theta + cos theta) = 3/7`


If Cosec A = 2 find `1/(tan A) + (sin A)/(1 + cos A)`


Evaluate the following

tan2 30° + tan2 60° + tan45°


Evaluate the Following

cosec3 30° cos 60° tan3 45° sin2 90° sec2 45° cot 30°


If cos (81 + θ)° = sin`("k"/3 - theta)^circ` where θ is an acute angle, then the value of k is ______.


The value of cos 0°. cos 1°. cos 2°. cos 3°… cos 89° cos 90° is ______.


If 4 tanθ = 3, then `((4 sintheta - costheta)/(4sintheta + costheta))` is equal to ______.


In ΔABC, ∠ABC = 90° and ∠ACB = θ. Then write the ratios of sin θ and tan θ from the figure.


Find an acute angle θ when `(cos θ - sin θ)/(cos θ + sin θ) = (1 - sqrt(3))/(1 + sqrt(3))`


Let f(x) = sinx.cos3x and g(x) = cosx.sin3x, then the value of `7((f(π/7) + g(π/7))/(g((5π)/14) + f((5π)/14)))` is ______.


If sinθ = `1/sqrt(2)` and `π/2 < θ < π`. Then the value of `(sinθ + cosθ)/tanθ` is ______.


If cosec θ = `("p" + "q")/("p" - "q")` (p ≠ q ≠ 0), then `|cot(π/4 + θ/2)|` is equal to ______.


If θ is an acute angle and sin θ = cos θ, find the value of tan2 θ + cot2 θ – 2.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×