Advertisements
Advertisements
प्रश्न
In ΔABC, ∠ABC = 90° and ∠ACB = θ. Then write the ratios of sin θ and tan θ from the figure.
उत्तर
sin θ = `("AB")/("AC")` and tan θ = `("AB")/("BC")`
APPEARS IN
संबंधित प्रश्न
In Given Figure, find tan P – cot R.
If ∠A and ∠B are acute angles such that cos A = cos B, then show that ∠A = ∠B.
State whether the following are true or false. Justify your answer.
sin θ = `4/3`, for some angle θ.
If `tan theta = a/b`, find the value of `(cos theta + sin theta)/(cos theta - sin theta)`
If sec θ = `13/5, "show that" (2sinθ - 3 cosθ)/(4sinθ - 9cosθ) = 3`.
If `cos theta = 12/13`, show that `sin theta (1 - tan theta) = 35/156`
If `cot theta = 1/sqrt3` show that `(1 - cos^2 theta)/(2 - sin^2 theta) = 3/5`
Evaluate the following
sin 45° sin 30° + cos 45° cos 30°
Evaluate the following
`sin^2 30° cos^2 45 ° + 4 tan^2 30° + 1/2 sin^2 90° − 2 cos^2 90° + 1/24 cos^2 0°`
Evaluate the Following
cosec3 30° cos 60° tan3 45° sin2 90° sec2 45° cot 30°
Find the value of x in the following :
`sqrt3 tan 2x = cos 60^@ + sin45^@ cos 45^@`
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 A and (2A – 45°) are acute angles such that sin A = cos (2A – 45°), then tan A is equal to ______.
Prove the following:
If tan A = `3/4`, then sinA cosA = `12/25`
Find the value of sin 45° + cos 45° + tan 45°.
Find will be the value of cos 90° + sin 90°.
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 ______.
Evaluate 2 sec2 θ + 3 cosec2 θ – 2 sin θ cos θ if θ = 45°.
In ΔBC, right angled at C, if tan A = `8/7`, then the value of cot B is ______.
