Find the value 'x', if: - Mathematics

Find the value 'x', if:

Sum

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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Chapter 27: Trigonometrical Ratios of Standard Angles - Exercise 27.2

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

From the given figure,
find:
(i) cos x°(ii) x°(iii) `(1)/(tan^2 xx°) – (1)/(sin^2xx°)`
(iv) Use tan x^o, to find the value of y.

State for any acute angle θ whether cos θ increases or decreases as θ increases.

Solve the following equation for A, if tan 3 A = 1

Solve the following equation for A, if 2 sin A = 1

Find the value of 'A', if 2cos 3A = 1

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

Evaluate the following: `(cos34° cos35°)/(sin57° sin56°)`

If tan4θ = cot(θ + 20°), find the value of θ if 4θ is an acute angle.

If P, Q and R are the interior angles of ΔPQR, prove that `cot(("Q" + "R")/2) = tan "P"/(2)`

If A + B = 90°, prove that `(tan"A" tan"B" + tan"A" cot"B")/(sin"A" sec"B") - (sin^2"B")/(cos^2"A")` = tan²A