Find the value 'x', if: - Mathematics

Find the value 'x', if:

योग

In right ΔABC,

tan30° = `"AB"/"BC"`

⇒ `(1)/sqrt(3) = (10)/x`
⇒ x = `10sqrt(3)"cm"`.

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Trigonometric Equation Problem and Solution

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अध्याय 27: Trigonometrical Ratios of Standard Angles - Exercise 27.2

अध्याय 27 Trigonometrical Ratios of Standard Angles
Exercise 27.2 | Q 9.1

Solve the following equation for A, if sin 3 A = `sqrt3 /2`

If 2 cos (A + B) = 2 sin (A - B) = 1;
find the values of A and B.

Solve the following equation for A, if sec 2A = 2

Find the value of 'A', if cosec 3A = `(2)/sqrt(3)`

Find the value of 'A', if `sqrt(3)cot"A"` = 1

Solve for 'θ': `sec(θ/2 + 10°) = (2)/sqrt(3)`

If tanθ= cotθ and 0°≤ θ ≤ 90°, find the value of 'θ'.

If A = B = 60°, verify that: cos(A - B) = cosA cosB + sinA sinB

If sec2θ = cosec3θ, find the value of θ if it is known that both 2θ and 3θ are acute angles.

If A, B and C are interior angles of ΔABC, prove that sin`(("A" + "B")/2) = cos "C"/(2)`