Advertisements
Advertisements
प्रश्न
Find the value of the following:
`cot theta/(tan(90^circ - theta)) + (cos(90^circ - theta) tantheta sec(90^circ - theta))/(sin(90^circ - theta)cot(90^circ - theta)"cosec"(90^circ - theta))`
Advertisements
उत्तर
`cot theta/(tan(90^circ - theta)) + (cos(90^circ - theta) tantheta sec(90^circ - theta))/(sin(90^circ - theta)cot(90^circ - theta)"cosec"(90^circ - theta))`
= `cot theta/cot theta + (sin theta* tan theta xx "cosec" theta)/(cos theta xx tan theta * sec theta)`
= `1 + sin theta/cos theta xx 1/sintheta xx costheta/1`
= 1 + 1
= 2
APPEARS IN
संबंधित प्रश्न
if `tan theta = 3/4`, find the value of `(1 - cos theta)/(1 +cos theta)`
Use tables to find the acute angle θ, if the value of tan θ is 0.2419
Evaluate:
cos 40° cosec 50° + sin 50° sec 40°
Evaluate:
`(cos75^@)/(sin15^@) + (sin12^@)/(cos78^@) - (cos18^@)/(sin72^@)`
If A and B are complementary angles, prove that:
`(sinA + sinB)/(sinA - sinB) + (cosB - cosA)/(cosB + cosA) = 2/(2sin^2A - 1)`
If \[\sec\theta = \frac{13}{12}\], find the values of other trigonometric ratios.
If 8 tan x = 15, then sin x − cos x is equal to
If 5θ and 4θ are acute angles satisfying sin 5θ = cos 4θ, then 2 sin 3θ −\[\sqrt{3} \tan 3\theta\] is equal to
If ∆ABC is right angled at C, then the value of cos (A + B) is ______.
`(sin 75^circ)/(cos 15^circ)` = ?
