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

Advertisements
उत्तर
sin θ = `("AB")/("AC")` and tan θ = `("AB")/("BC")`
APPEARS IN
संबंधित प्रश्न
In ΔABC, right angled at B. If tan A = `1/sqrt3` , find the value of
- sin A cos C + cos A sin C
- cos A cos C − sin A sin C
State whether the following are true or false. Justify your answer.
The value of tan A is always less than 1.
In the following, trigonometric ratios is given. Find the value of the other trigonometric ratios.
`cos A = 4/5`
If 3 tan θ = 4, find the value of `(4cos theta - sin theta)/(2cos theta + sin theta)`
If `tan θ = a/b` then prove that `((a sin theta - b cos theta)/(a sin theta + b cos theta)) = ((a^2 - b^2))/((a^2 + b^2))`.
If `tan θ = 20/21` show that `(1 - sin theta + cos theta)/(1 + sin theta + cos theta) = 3/7`
Evaluate the following:
cosec3 30° cos 60° tan3 45° sin2 90° sec2 45° cot 30°
Evaluate the following:
(cos 0° + sin 45° + sin 30°)(sin 90° – cos 45° + cos 60°)
If sin (A − B) = sin A cos B − cos A sin B and cos (A − B) = cos A cos B + sin A sin B, find the values of sin 15° and cos 15°.
If cosec θ - cot θ = `1/3`, the value of (cosec θ + cot θ) is ______.
If cos (81 + θ)° = sin`("k"/3 - theta)^circ` where θ is an acute angle, then the value of k is ______.
If sin 2A = `1/2` tan² 45° where A is an acute angle, then the value of A is ______.
`(sin theta)/(1 + cos theta)` is ______.
If cos A = `4/5`, then the value of tan A is ______.
Prove the following:
If tan A = `3/4`, then sinA cosA = `12/25`
The value of the expression (sin 80° – cos 80°) is negative.
If sec θ = `1/2`, what will be the value of cos θ?
Find an acute angle θ when `(cos θ - sin θ)/(cos θ + sin θ) = (1 - sqrt(3))/(1 + sqrt(3))`
If cos(α + β) = `(3/5)`, sin(α – β) = `5/13` and 0 < α, β < `π/4`, then tan (2α) is equal to ______.
If θ is an acute angle and sin θ = cos θ, find the value of tan2 θ + cot2 θ – 2.
